45088164 has 72 divisors (see below), whose sum is σ = 128969568. Its totient is φ = 13659840.

The previous prime is 45088157. The next prime is 45088193. The reversal of 45088164 is 46188054.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8584 + ... + 12800.

It is an arithmetic number, because the mean of its divisors is an integer number (1791244).

Almost surely, 2^45088164 is an apocalyptic number.

45088164 is a gapful number since it is divisible by the number (44) 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 45088164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64484784).

45088164 is an abundant number, since it is smaller than the sum of its proper divisors (83881404).

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

45088164 is a wasteful number, since it uses less digits than its factorization.

45088164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4247 (or 4233 counting only the distinct ones).

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

The square root of 45088164 is about 6714.7720735703. The cubic root of 45088164 is about 355.9214677592.

The spelling of 45088164 in words is "forty-five million, eighty-eight thousand, one hundred sixty-four".