45688 has 8 divisors (see below), whose sum is σ = 85680. Its totient is φ = 22840.

The previous prime is 45677. The next prime is 45691. The reversal of 45688 is 88654.

45688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (8).

It is a plaindrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2848 + ... + 2863.

It is an arithmetic number, because the mean of its divisors is an integer number (10710).

2⁴⁵⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

45688 is a deficient number, since it is larger than the sum of its proper divisors (39992).

45688 is a wasteful number, since it uses less digits than its factorization.

45688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5717 (or 5713 counting only the distinct ones).

The product of its digits is 7680, while the sum is 31.

The square root of 45688 is about 213.7475146054. The cubic root of 45688 is about 35.7492868295.

The spelling of 45688 in words is "forty-five thousand, six hundred eighty-eight".