56545040 has 80 divisors (see below), whose sum is σ = 139276800. Its totient is φ = 21305856.

The previous prime is 56544989. The next prime is 56545057. The reversal of 56545040 is 4054565.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 56544994 and 56545012.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145166 + ... + 145554.

It is an arithmetic number, because the mean of its divisors is an integer number (1740960).

Almost surely, 2^56545040 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 56545040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69638400).

56545040 is an abundant number, since it is smaller than the sum of its proper divisors (82731760).

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

56545040 is a wasteful number, since it uses less digits than its factorization.

56545040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 29.

The square root of 56545040 is about 7519.6436085761. The cubic root of 56545040 is about 383.8234503805.

The spelling of 56545040 in words is "fifty-six million, five hundred forty-five thousand, forty".