45600160 has 48 divisors (see below), whose sum is σ = 108815616. Its totient is φ = 18056448.

The previous prime is 45600157. The next prime is 45600161. The reversal of 45600160 is 6100654.

It is not an unprimeable number, because it can be changed into a prime (45600161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15097 + ... + 17863.

It is an arithmetic number, because the mean of its divisors is an integer number (2266992).

Almost surely, 2^45600160 is an apocalyptic number.

45600160 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 45600160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54407808).

45600160 is an abundant number, since it is smaller than the sum of its proper divisors (63215456).

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

45600160 is a wasteful number, since it uses less digits than its factorization.

45600160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2885 (or 2877 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 45600160 is about 6752.7890534208. The cubic root of 45600160 is about 357.2636153928.

The spelling of 45600160 in words is "forty-five million, six hundred thousand, one hundred sixty".