45604188 has 96 divisors (see below), whose sum is σ = 136281600. Its totient is φ = 12918528.

The previous prime is 45604171. The next prime is 45604219. The reversal of 45604188 is 88140654.

45604188 is a `hidden beast` number, since 45 + 604 + 1 + 8 + 8 = 666.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 135156 + ... + 135492.

It is an arithmetic number, because the mean of its divisors is an integer number (1419600).

Almost surely, 2^45604188 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45604188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68140800).

45604188 is an abundant number, since it is smaller than the sum of its proper divisors (90677412).

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

45604188 is a wasteful number, since it uses less digits than its factorization.

45604188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 528 counting only the distinct ones).

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

The square root of 45604188 is about 6753.0872939716. The cubic root of 45604188 is about 357.2741344749.

The spelling of 45604188 in words is "forty-five million, six hundred four thousand, one hundred eighty-eight".