56923040 has 48 divisors (see below), whose sum is σ = 134991360. Its totient is φ = 22682880.

The previous prime is 56923039. The next prime is 56923079. The reversal of 56923040 is 4032965.

It is a super-3 number, since 3×56923040³ (a number of 24 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 56922994 and 56923012.

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 7 ways as a sum of consecutive naturals, for example, 56945 + ... + 57935.

It is an arithmetic number, because the mean of its divisors is an integer number (2812320).

Almost surely, 2^56923040 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 56923040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67495680).

56923040 is an abundant number, since it is smaller than the sum of its proper divisors (78068320).

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

56923040 is a wasteful number, since it uses less digits than its factorization.

56923040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 56923040 is about 7544.7359132046. The cubic root of 56923040 is about 384.6768300600.

It can be divided in two parts, 569 and 23040, that multiplied together give a triangular number (13109760 = T₅₁₂₀).

The spelling of 56923040 in words is "fifty-six million, nine hundred twenty-three thousand, forty".