54307656 has 96 divisors (see below), whose sum is σ = 167763960. Its totient is φ = 15722496.

The previous prime is 54307621. The next prime is 54307679. The reversal of 54307656 is 65670345.

54307656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 52794756 + 1512900 = 7266^2 + 1230^2 .

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

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 54307656.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14206 + ... + 17618.

Almost surely, 2^54307656 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 54307656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83881980).

54307656 is an abundant number, since it is smaller than the sum of its proper divisors (113456304).

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

54307656 is a wasteful number, since it uses less digits than its factorization.

54307656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3455 (or 3448 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 54307656 is about 7369.3728362731. The cubic root of 54307656 is about 378.6927750684.

The spelling of 54307656 in words is "fifty-four million, three hundred seven thousand, six hundred fifty-six".