45612160 has 192 divisors, whose sum is σ = 130233600. Its totient is φ = 15206400.

The previous prime is 45612113. The next prime is 45612167. The reversal of 45612160 is 6121654.

It is not an unprimeable number, because it can be changed into a prime (45612167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1471345 + ... + 1471375.

It is an arithmetic number, because the mean of its divisors is an integer number (678300).

Almost surely, 2^45612160 is an apocalyptic number.

45612160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45612160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65116800).

45612160 is an abundant number, since it is smaller than the sum of its proper divisors (84621440).

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

45612160 is a wasteful number, since it uses less digits than its factorization.

45612160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 45612160 is about 6753.6775167312. The cubic root of 45612160 is about 357.2949514479.

The spelling of 45612160 in words is "forty-five million, six hundred twelve thousand, one hundred sixty".