56634 has 8 divisors (see below), whose sum is σ = 113280. Its totient is φ = 18876.

The previous prime is 56633. The next prime is 56659. The reversal of 56634 is 43665.

It is a sphenic number, since it is the product of 3 distinct primes.

56634 is an admirable number.

It is a d-powerful number, because it can be written as 5⁵ + 6² + 6⁶ + 3⁸ + 4⁴ .

It is not an unprimeable number, because it can be changed into a prime (56633) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4714 + ... + 4725.

It is an arithmetic number, because the mean of its divisors is an integer number (14160).

2⁵⁶⁶³⁴ is an apocalyptic number.

56634 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56640).

56634 is a wasteful number, since it uses less digits than its factorization.

56634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9444.

The product of its digits is 2160, while the sum is 24.

The square root of 56634 is about 237.9789906693. The cubic root of 56634 is about 38.4024629497.

The spelling of 56634 in words is "fifty-six thousand, six hundred thirty-four".