45368624 has 80 divisors (see below), whose sum is σ = 105707520. Its totient is φ = 18455040.

The previous prime is 45368621. The next prime is 45368633. The reversal of 45368624 is 42686354.

It is not an unprimeable number, because it can be changed into a prime (45368621) 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, 253367 + ... + 253545.

It is an arithmetic number, because the mean of its divisors is an integer number (1321344).

Almost surely, 2^45368624 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 45368624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52853760).

45368624 is an abundant number, since it is smaller than the sum of its proper divisors (60338896).

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

45368624 is a wasteful number, since it uses less digits than its factorization.

45368624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 292 counting only the distinct ones).

The product of its digits is 138240, while the sum is 38.

The square root of 45368624 is about 6735.6235049177. The cubic root of 45368624 is about 356.6579173133.

The spelling of 45368624 in words is "forty-five million, three hundred sixty-eight thousand, six hundred twenty-four".