45088624 has 90 divisors (see below), whose sum is σ = 108493800. Its totient is φ = 18095616.

The previous prime is 45088609. The next prime is 45088661. The reversal of 45088624 is 42688054.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 226477 + ... + 226675.

Almost surely, 2^45088624 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 45088624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54246900).

45088624 is an abundant number, since it is smaller than the sum of its proper divisors (63405176).

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

45088624 is a wasteful number, since it uses less digits than its factorization.

45088624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

The square root of 45088624 is about 6714.8063263210. The cubic root of 45088624 is about 355.9226781531.

The spelling of 45088624 in words is "forty-five million, eighty-eight thousand, six hundred twenty-four".