45695760 has 160 divisors (see below), whose sum is σ = 162846720. Its totient is φ = 10483200.

The previous prime is 45695753. The next prime is 45695791. The reversal of 45695760 is 6759654.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49705 + ... + 50615.

It is an arithmetic number, because the mean of its divisors is an integer number (1017792).

Almost surely, 2^45695760 is an apocalyptic number.

45695760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45695760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81423360).

45695760 is an abundant number, since it is smaller than the sum of its proper divisors (117150960).

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

45695760 is a wasteful number, since it uses less digits than its factorization.

45695760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The square root of 45695760 is about 6759.8639039555. The cubic root of 45695760 is about 357.5131069249.

The spelling of 45695760 in words is "forty-five million, six hundred ninety-five thousand, seven hundred sixty".