45165760 has 112 divisors (see below), whose sum is σ = 115580160. Its totient is φ = 16773120.

The previous prime is 45165737. The next prime is 45165763. The reversal of 45165760 is 6756154.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (45165763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 287602 + ... + 287758.

Almost surely, 2^45165760 is an apocalyptic number.

45165760 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 45165760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57790080).

45165760 is an abundant number, since it is smaller than the sum of its proper divisors (70414400).

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

45165760 is a wasteful number, since it uses less digits than its factorization.

45165760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 45165760 is about 6720.5475967364. The cubic root of 45165760 is about 356.1255291024.

The spelling of 45165760 in words is "forty-five million, one hundred sixty-five thousand, seven hundred sixty".