56145880 has 64 divisors (see below), whose sum is σ = 145152000. Its totient is φ = 19146624.

The previous prime is 56145821. The next prime is 56145889. The reversal of 56145880 is 8854165.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56145889) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66501 + ... + 67339.

It is an arithmetic number, because the mean of its divisors is an integer number (2268000).

Almost surely, 2^56145880 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 56145880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72576000).

56145880 is an abundant number, since it is smaller than the sum of its proper divisors (89006120).

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

56145880 is a wasteful number, since it uses less digits than its factorization.

56145880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 37.

The square root of 56145880 is about 7493.0554515498. The cubic root of 56145880 is about 382.9181608822.

The spelling of 56145880 in words is "fifty-six million, one hundred forty-five thousand, eight hundred eighty".