56366640 has 180 divisors, whose sum is σ = 208392912. Its totient is φ = 13643520.

The previous prime is 56366621. The next prime is 56366657. The reversal of 56366640 is 4666365.

It is a tau number, because it is divible by the number of its divisors (180).

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 = 56366595 and 56366604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 86797 + ... + 87443.

Almost surely, 2^56366640 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 56366640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104196456).

56366640 is an abundant number, since it is smaller than the sum of its proper divisors (152026272).

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

56366640 is a wasteful number, since it uses less digits than its factorization.

56366640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 668 counting only the distinct ones).

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

The square root of 56366640 is about 7507.7719730956. The cubic root of 56366640 is about 383.4193698922.

The spelling of 56366640 in words is "fifty-six million, three hundred sixty-six thousand, six hundred forty".