45615624 has 64 divisors (see below), whose sum is σ = 126023040. Its totient is φ = 13685760.

The previous prime is 45615623. The next prime is 45615631. The reversal of 45615624 is 42651654.

It is not an unprimeable number, because it can be changed into a prime (45615623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6954 + ... + 11814.

It is an arithmetic number, because the mean of its divisors is an integer number (1969110).

Almost surely, 2^45615624 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 45615624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63011520).

45615624 is an abundant number, since it is smaller than the sum of its proper divisors (80407416).

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

45615624 is a wasteful number, since it uses less digits than its factorization.

45615624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4910 (or 4906 counting only the distinct ones).

The product of its digits is 28800, while the sum is 33.

The square root of 45615624 is about 6753.9339647349. The cubic root of 45615624 is about 357.3039961002.

The spelling of 45615624 in words is "forty-five million, six hundred fifteen thousand, six hundred twenty-four".