55808256 has 108 divisors (see below), whose sum is σ = 172897872. Its totient is φ = 15934464.

The previous prime is 55808239. The next prime is 55808303. The reversal of 55808256 is 65280855.

It is a super-2 number, since 2×55808256² = 6229122875523072, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36891 + ... + 38373.

Almost surely, 2^55808256 is an apocalyptic number.

55808256 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55808256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86448936).

55808256 is an abundant number, since it is smaller than the sum of its proper divisors (117089616).

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

55808256 is a wasteful number, since it uses less digits than its factorization.

55808256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 39.

The square root of 55808256 is about 7470.4923532522. The cubic root of 55808256 is about 382.1490788068.

The spelling of 55808256 in words is "fifty-five million, eight hundred eight thousand, two hundred fifty-six".