56637630 has 120 divisors (see below), whose sum is σ = 177280488. Its totient is φ = 12936672.

The previous prime is 56637629. The next prime is 56637631. The reversal of 56637630 is 3673665.

56637630 is a `hidden beast` number, since 566 + 37 + 63 + 0 = 666.

56637630 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56637629) and next prime (56637631).

It is a super-2 number, since 2×56637630² = 6415642264033800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56637631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 38977 + ... + 40403.

Almost surely, 2^56637630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56637630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88640244).

56637630 is an abundant number, since it is smaller than the sum of its proper divisors (120642858).

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

56637630 is a wasteful number, since it uses less digits than its factorization.

56637630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The square root of 56637630 is about 7525.7976321450. The cubic root of 56637630 is about 384.0328341065.

The spelling of 56637630 in words is "fifty-six million, six hundred thirty-seven thousand, six hundred thirty".