45937968 has 20 divisors (see below), whose sum is σ = 118673208. Its totient is φ = 15312640.

The previous prime is 45937963. The next prime is 45937987. The reversal of 45937968 is 86973954.

It is a super-2 number, since 2×45937968² = 4220593807938048, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45937968.

It is not an unprimeable number, because it can be changed into a prime (45937963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 478473 + ... + 478568.

Almost surely, 2^45937968 is an apocalyptic number.

45937968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

45937968 is an abundant number, since it is smaller than the sum of its proper divisors (72735240).

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

45937968 is a wasteful number, since it uses less digits than its factorization.

45937968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957052 (or 957046 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 51.

The square root of 45937968 is about 6777.7553806552. The cubic root of 45937968 is about 358.1436540512.

It can be divided in two parts, 4593 and 7968, that added together give a triangular number (12561 = T₁₅₈).

The spelling of 45937968 in words is "forty-five million, nine hundred thirty-seven thousand, nine hundred sixty-eight".