45636600 has 96 divisors (see below), whose sum is σ = 147669120. Its totient is φ = 11637120.

The previous prime is 45636593. The next prime is 45636659. The reversal of 45636600 is 663654.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12147 + ... + 15453.

It is an arithmetic number, because the mean of its divisors is an integer number (1538220).

Almost surely, 2^45636600 is an apocalyptic number.

45636600 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 45636600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73834560).

45636600 is an abundant number, since it is smaller than the sum of its proper divisors (102032520).

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

45636600 is a wasteful number, since it uses less digits than its factorization.

45636600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3349 (or 3340 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 45636600 is about 6755.4866590054. The cubic root of 45636600 is about 357.3587555550.

The spelling of 45636600 in words is "forty-five million, six hundred thirty-six thousand, six hundred".