56485968 has 320 divisors, whose sum is σ = 205701120. Its totient is φ = 12902400.

The previous prime is 56485943. The next prime is 56485973. The reversal of 56485968 is 86958465.

56485968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×56485968³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

Its product of digits (2073600) is a multiple of the sum of its prime divisors (100).

It is a self number, because there is not a number n which added to its sum of digits gives 56485968.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1822113 + ... + 1822143.

It is an arithmetic number, because the mean of its divisors is an integer number (642816).

Almost surely, 2^56485968 is an apocalyptic number.

56485968 is a gapful number since it is divisible by the number (58) 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 56485968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102850560).

56485968 is an abundant number, since it is smaller than the sum of its proper divisors (149215152).

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

56485968 is a wasteful number, since it uses less digits than its factorization.

56485968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 100 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 51.

The square root of 56485968 is about 7515.7147364705. The cubic root of 56485968 is about 383.6897450550.

The spelling of 56485968 in words is "fifty-six million, four hundred eighty-five thousand, nine hundred sixty-eight".