45120960 has 84 divisors (see below), whose sum is σ = 155207208. Its totient is φ = 12031488.

The previous prime is 45120931. The next prime is 45120961. The reversal of 45120960 is 6902154.

45120960 is a `hidden beast` number, since 451 + 209 + 6 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45120961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4954 + ... + 10713.

Almost surely, 2^45120960 is an apocalyptic number.

45120960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45120960 is an abundant number, since it is smaller than the sum of its proper divisors (110086248).

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

45120960 is a wasteful number, since it uses less digits than its factorization.

45120960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15690 (or 15677 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 45120960 is about 6717.2137080787. The cubic root of 45120960 is about 356.0077429617.

The spelling of 45120960 in words is "forty-five million, one hundred twenty thousand, nine hundred sixty".