45096160 has 48 divisors (see below), whose sum is σ = 110224800. Its totient is φ = 17414656.

The previous prime is 45096157. The next prime is 45096199. The reversal of 45096160 is 6169054.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 220 + ... + 9499.

It is an arithmetic number, because the mean of its divisors is an integer number (2296350).

Almost surely, 2^45096160 is an apocalyptic number.

45096160 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 45096160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55112400).

45096160 is an abundant number, since it is smaller than the sum of its proper divisors (65128640).

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

45096160 is a wasteful number, since it uses less digits than its factorization.

45096160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9763 (or 9755 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 45096160 is about 6715.3674508548. The cubic root of 45096160 is about 355.9425063910.

The spelling of 45096160 in words is "forty-five million, ninety-six thousand, one hundred sixty".