54716256 has 192 divisors, whose sum is σ = 186278400. Its totient is φ = 15303168.

The previous prime is 54716231. The next prime is 54716261. The reversal of 54716256 is 65261745.

54716256 = 111³ + 112³ + ... + 138³.

It is a happy number.

54716256 is a `hidden beast` number, since 547 + 1 + 62 + 56 = 666.

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 54716256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 501930 + ... + 502038.

It is an arithmetic number, because the mean of its divisors is an integer number (970200).

Almost surely, 2^54716256 is an apocalyptic number.

54716256 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 54716256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93139200).

54716256 is an abundant number, since it is smaller than the sum of its proper divisors (131562144).

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

54716256 is a wasteful number, since it uses less digits than its factorization.

54716256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 204 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 54716256 is about 7397.0437338169. The cubic root of 54716256 is about 379.6401394669.

54716256 divided by its sum of digits (36) gives a triangular number (1519896 = T₁₇₄₃).

The spelling of 54716256 in words is "fifty-four million, seven hundred sixteen thousand, two hundred fifty-six".