27338256 has 120 divisors (see below), whose sum is σ = 86418080. Its totient is φ = 8268480.

The previous prime is 27338231. The next prime is 27338279. The reversal of 27338256 is 65283372.

27338256 = 84² + 85² + ... + 435².

27338256 is a `hidden beast` number, since 273 + 382 + 5 + 6 = 666.

It is a super-2 number, since 2×27338256² = 1494760482243072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 27338256.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52011 + ... + 52533.

Almost surely, 2^27338256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27338256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43209040).

27338256 is an abundant number, since it is smaller than the sum of its proper divisors (59079824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27338256 is a wasteful number, since it uses less digits than its factorization.

27338256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 539 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 27338256 is about 5228.5998125693. The cubic root of 27338256 is about 301.2476044184.

Subtracting 27338256 from its reverse (65283372), we obtain a triangular number (37945116 = T₈₇₁₁).

The spelling of 27338256 in words is "twenty-seven million, three hundred thirty-eight thousand, two hundred fifty-six".