56145936 has 120 divisors (see below), whose sum is σ = 182335552. Its totient is φ = 14572800.

The previous prime is 56145923. The next prime is 56145941. The reversal of 56145936 is 63954165.

It is a super-2 number, since 2×56145936² = 6304732258632192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 56145894 and 56145903.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39966 + ... + 41346.

Almost surely, 2^56145936 is an apocalyptic number.

56145936 is a gapful number since it is divisible by the number (56) 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 56145936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91167776).

56145936 is an abundant number, since it is smaller than the sum of its proper divisors (126189616).

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

56145936 is a wasteful number, since it uses less digits than its factorization.

56145936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1421 (or 1404 counting only the distinct ones).

The product of its digits is 97200, while the sum is 39.

The square root of 56145936 is about 7493.0591883422. The cubic root of 56145936 is about 382.9182881899.

The spelling of 56145936 in words is "fifty-six million, one hundred forty-five thousand, nine hundred thirty-six".