56465640 has 384 divisors, whose sum is σ = 241315200. Its totient is φ = 11612160.

The previous prime is 56465627. The next prime is 56465671. The reversal of 56465640 is 4656465.

It is a happy number.

56465640 is a `hidden beast` number, since 5 + 6 + 4 + 6 + 5 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 56465595 and 56465604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 582072 + ... + 582168.

It is an arithmetic number, because the mean of its divisors is an integer number (628425).

Almost surely, 2^56465640 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 56465640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120657600).

56465640 is an abundant number, since it is smaller than the sum of its proper divisors (184849560).

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

56465640 is a wasteful number, since it uses less digits than its factorization.

56465640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 56465640 is about 7514.3622483881. The cubic root of 56465640 is about 383.6437124960.

The spelling of 56465640 in words is "fifty-six million, four hundred sixty-five thousand, six hundred forty".