56294640 has 120 divisors (see below), whose sum is σ = 193768848. Its totient is φ = 14638080.

The previous prime is 56294621. The next prime is 56294669. The reversal of 56294640 is 4649265.

56294640 is a `hidden beast` number, since 5 + 6 + 2 + 9 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 56294595 and 56294604.

It is a congruent number.

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, 28567 + ... + 30473.

Almost surely, 2^56294640 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 56294640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96884424).

56294640 is an abundant number, since it is smaller than the sum of its proper divisors (137474208).

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

56294640 is a wasteful number, since it uses less digits than its factorization.

56294640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1967 (or 1958 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 56294640 is about 7502.9754097958. The cubic root of 56294640 is about 383.2560465905.

The spelling of 56294640 in words is "fifty-six million, two hundred ninety-four thousand, six hundred forty".