56295840 has 96 divisors (see below), whose sum is σ = 187790400. Its totient is φ = 14127104.

The previous prime is 56295797. The next prime is 56295859. The reversal of 56295840 is 4859265.

It is a tau number, because it is divible by the number of its divisors (96).

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, 4711 + ... + 11609.

It is an arithmetic number, because the mean of its divisors is an integer number (1956150).

Almost surely, 2^56295840 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 56295840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93895200).

56295840 is an abundant number, since it is smaller than the sum of its proper divisors (131494560).

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

56295840 is a wasteful number, since it uses less digits than its factorization.

56295840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6934 (or 6926 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 56295840 is about 7503.0553776445. The cubic root of 56295840 is about 383.2587697863.

The spelling of 56295840 in words is "fifty-six million, two hundred ninety-five thousand, eight hundred forty".