56152656 has 160 divisors (see below), whose sum is σ = 190464000. Its totient is φ = 15500160.

The previous prime is 56152631. The next prime is 56152661. The reversal of 56152656 is 65625165.

It is a happy number.

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 56152656.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93445 + ... + 94043.

It is an arithmetic number, because the mean of its divisors is an integer number (1190400).

Almost surely, 2^56152656 is an apocalyptic number.

56152656 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 56152656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95232000).

56152656 is an abundant number, since it is smaller than the sum of its proper divisors (134311344).

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

56152656 is a wasteful number, since it uses less digits than its factorization.

56152656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 642 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The square root of 56152656 is about 7493.5075899074. The cubic root of 56152656 is about 382.9335645004.

The spelling of 56152656 in words is "fifty-six million, one hundred fifty-two thousand, six hundred fifty-six".