56129920 has 256 divisors, whose sum is σ = 179781120. Its totient is φ = 16220160.

The previous prime is 56129917. The next prime is 56129947. The reversal of 56129920 is 2992165.

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 837727 + ... + 837793.

It is an arithmetic number, because the mean of its divisors is an integer number (702270).

Almost surely, 2^56129920 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 56129920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89890560).

56129920 is an abundant number, since it is smaller than the sum of its proper divisors (123651200).

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

56129920 is a wasteful number, since it uses less digits than its factorization.

56129920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 34.

The square root of 56129920 is about 7491.9903897429. The cubic root of 56129920 is about 382.8818747350.

The spelling of 56129920 in words is "fifty-six million, one hundred twenty-nine thousand, nine hundred twenty".