45880164 has 36 divisors (see below), whose sum is σ = 126519120. Its totient is φ = 13902960.

The previous prime is 45880157. The next prime is 45880169. The reversal of 45880164 is 46108854.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (45880169) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57534 + ... + 58325.

It is an arithmetic number, because the mean of its divisors is an integer number (3514420).

Almost surely, 2^45880164 is an apocalyptic number.

45880164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

45880164 is an abundant number, since it is smaller than the sum of its proper divisors (80638956).

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

45880164 is a wasteful number, since it uses less digits than its factorization.

45880164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115880 (or 115875 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 45880164 is about 6773.4897947808. The cubic root of 45880164 is about 357.9933729514.

The spelling of 45880164 in words is "forty-five million, eight hundred eighty thousand, one hundred sixty-four".