54680256 has 84 divisors (see below), whose sum is σ = 159486600. Its totient is φ = 17906688.

The previous prime is 54680251. The next prime is 54680257. The reversal of 54680256 is 65208645.

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 54680256.

It is not an unprimeable number, because it can be changed into a prime (54680251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33180 + ... + 34788.

It is an arithmetic number, because the mean of its divisors is an integer number (1898650).

Almost surely, 2^54680256 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 54680256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79743300).

54680256 is an abundant number, since it is smaller than the sum of its proper divisors (104806344).

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

54680256 is a wasteful number, since it uses less digits than its factorization.

54680256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1686 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 54680256 is about 7394.6099288603. The cubic root of 54680256 is about 379.5568610869.

The spelling of 54680256 in words is "fifty-four million, six hundred eighty thousand, two hundred fifty-six".