45637680 has 160 divisors (see below), whose sum is σ = 157489920. Its totient is φ = 10839040.

The previous prime is 45637651. The next prime is 45637703. The reversal of 45637680 is 8673654.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155614 + ... + 155906.

It is an arithmetic number, because the mean of its divisors is an integer number (984312).

Almost surely, 2^45637680 is an apocalyptic number.

45637680 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 45637680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78744960).

45637680 is an abundant number, since it is smaller than the sum of its proper divisors (111852240).

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

45637680 is a wasteful number, since it uses less digits than its factorization.

45637680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 45637680 is about 6755.5665935582. The cubic root of 45637680 is about 357.3615745235.

The spelling of 45637680 in words is "forty-five million, six hundred thirty-seven thousand, six hundred eighty".