45585160 has 64 divisors (see below), whose sum is σ = 111196800. Its totient is φ = 16751616.

The previous prime is 45585151. The next prime is 45585167. The reversal of 45585160 is 6158554.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (45585167) 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, 28461 + ... + 30019.

It is an arithmetic number, because the mean of its divisors is an integer number (1737450).

Almost surely, 2^45585160 is an apocalyptic number.

45585160 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 45585160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55598400).

45585160 is an abundant number, since it is smaller than the sum of its proper divisors (65611640).

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

45585160 is a wasteful number, since it uses less digits than its factorization.

45585160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1630 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 34.

The square root of 45585160 is about 6751.6783098723. The cubic root of 45585160 is about 357.2244375921.

The spelling of 45585160 in words is "forty-five million, five hundred eighty-five thousand, one hundred sixty".