56952168 has 128 divisors (see below), whose sum is σ = 177811200. Its totient is φ = 14800896.

The previous prime is 56952149. The next prime is 56952187. The reversal of 56952168 is 86125965.

It is an interprime number because it is at equal distance from previous prime (56952149) and next prime (56952187).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 194230 + ... + 194522.

It is an arithmetic number, because the mean of its divisors is an integer number (1389150).

Almost surely, 2^56952168 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 56952168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88905600).

56952168 is an abundant number, since it is smaller than the sum of its proper divisors (120859032).

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

56952168 is a wasteful number, since it uses less digits than its factorization.

56952168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 407 counting only the distinct ones).

The product of its digits is 129600, while the sum is 42.

The square root of 56952168 is about 7546.6660188457. Note that the first 3 decimals coincide. The cubic root of 56952168 is about 384.7424329983.

The spelling of 56952168 in words is "fifty-six million, nine hundred fifty-two thousand, one hundred sixty-eight".