56216640 has 112 divisors (see below), whose sum is σ = 184343040. Its totient is φ = 14499840.

The previous prime is 56216639. The next prime is 56216651. The reversal of 56216640 is 4661265.

It is a super-2 number, since 2×56216640² = 6320621225779200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 56216598 and 56216607.

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 15 ways as a sum of consecutive naturals, for example, 28816 + ... + 30704.

It is an arithmetic number, because the mean of its divisors is an integer number (1645920).

Almost surely, 2^56216640 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 56216640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92171520).

56216640 is an abundant number, since it is smaller than the sum of its proper divisors (128126400).

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

56216640 is a wasteful number, since it uses less digits than its factorization.

56216640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1940 (or 1930 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 56216640 is about 7497.7756701571. The cubic root of 56216640 is about 383.0789557877.

The spelling of 56216640 in words is "fifty-six million, two hundred sixteen thousand, six hundred forty".