45688968 has 128 divisors (see below), whose sum is σ = 139708800. Its totient is φ = 13747968.

The previous prime is 45688967. The next prime is 45688987. The reversal of 45688968 is 86988654.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (45688961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148671 + ... + 148977.

It is an arithmetic number, because the mean of its divisors is an integer number (1091475).

Almost surely, 2^45688968 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 45688968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69854400).

45688968 is an abundant number, since it is smaller than the sum of its proper divisors (94019832).

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

45688968 is a wasteful number, since it uses less digits than its factorization.

45688968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 378 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The square root of 45688968 is about 6759.3615083083. The cubic root of 45688968 is about 357.4953930324.

It can be divided in two parts, 45688 and 968, that added together give a 6-th power (46656 = 6⁶).

The spelling of 45688968 in words is "forty-five million, six hundred eighty-eight thousand, nine hundred sixty-eight".