56146560 has 64 divisors (see below), whose sum is σ = 178973280. Its totient is φ = 14971904.

The previous prime is 56146553. The next prime is 56146567. The reversal of 56146560 is 6564165.

It is an interprime number because it is at equal distance from previous prime (56146553) and next prime (56146567).

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (56146567) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 12702 + ... + 16541.

Almost surely, 2^56146560 is an apocalyptic number.

It is an amenable number.

56146560 is an abundant number, since it is smaller than the sum of its proper divisors (122826720).

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

56146560 is a wasteful number, since it uses less digits than its factorization.

56146560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29265 (or 29253 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 56146560 is about 7493.1008267606. The cubic root of 56146560 is about 382.9197067558.

The spelling of 56146560 in words is "fifty-six million, one hundred forty-six thousand, five hundred sixty".