12564160 has 112 divisors (see below), whose sum is σ = 35112960. Its totient is φ = 4193280.

The previous prime is 12564157. The next prime is 12564161. The reversal of 12564160 is 6146521.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (12564161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159001 + ... + 159079.

Almost surely, 2^12564160 is an apocalyptic number.

12564160 is a gapful number since it is divisible by the number (10) 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 12564160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17556480).

12564160 is an abundant number, since it is smaller than the sum of its proper divisors (22548800).

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

12564160 is an equidigital number, since it uses as much as digits as its factorization.

12564160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 164 counting only the distinct ones).

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

The square root of 12564160 is about 3544.5958866985. The cubic root of 12564160 is about 232.4758366995.

The spelling of 12564160 in words is "twelve million, five hundred sixty-four thousand, one hundred sixty".