27310 is the sum of consecutive squares viz. 27^2 + 28^2 + ... + 46^2.
27310 is a member of OEIS A061418: a(n) = floor(a(n-1)*3/2) with a(1) = 2. The sequence can be generated as follows:
INPUT
a=2
L=[a]
for n in [1..25]:
b=floor(a*3/2)
L.append(b)
a=b
print(L)
OUTPUT
[2, 3, 4, 6, 9, 13, 19, 28, 42, 63, 94, 141, 211, 316, 474, 711, 1066, 1599, 2398, 3597, 5395, 8092, 12138, 18207, 27310, 40965]
These terms are very close to the terms in the terms in the previous entry.
27310 is palindromic in base 8 (65256) and base 9 (41414)
27310 is a sphenic number.