64516160 has 56 divisors (see below), whose sum is σ = 157810200. Its totient is φ = 25104384.

The previous prime is 64516147. The next prime is 64516163. The reversal of 64516160 is 6161546.

It can be written as a sum of positive squares in 4 ways, for example, as 6390784 + 58125376 = 2528^2 + 7624^2 .

It is a super-2 number, since 2×64516160² = 8324669802291200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64516163) 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, 9116 + ... + 14564.

Almost surely, 2^64516160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64516160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78905100).

64516160 is an abundant number, since it is smaller than the sum of its proper divisors (93294040).

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

64516160 is a wasteful number, since it uses less digits than its factorization.

64516160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5503 (or 5493 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 64516160 is about 8032.1952167511. The cubic root of 64516160 is about 401.0724553623.

The spelling of 64516160 in words is "sixty-four million, five hundred sixteen thousand, one hundred sixty".