56636640 has 144 divisors (see below), whose sum is σ = 198682848. Its totient is φ = 14681088.

The previous prime is 56636611. The next prime is 56636683. The reversal of 56636640 is 4663665.

56636640 is a `hidden beast` number, since 5 + 6 + 6 + 3 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 56636595 and 56636604.

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, 52749 + ... + 53811.

It is an arithmetic number, because the mean of its divisors is an integer number (1379742).

Almost surely, 2^56636640 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 56636640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99341424).

56636640 is an abundant number, since it is smaller than the sum of its proper divisors (142046208).

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

56636640 is a wasteful number, since it uses less digits than its factorization.

56636640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 56636640 is about 7525.7318580986. The cubic root of 56636640 is about 384.0305965204.

The spelling of 56636640 in words is "fifty-six million, six hundred thirty-six thousand, six hundred forty".