12564192 has 48 divisors (see below), whose sum is σ = 34125840. Its totient is φ = 4042752.

The previous prime is 12564169. The next prime is 12564193. The reversal of 12564192 is 29146521.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×12564192² = 315717841225728, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12564193) 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, 528 + ... + 5040.

It is an arithmetic number, because the mean of its divisors is an integer number (710955).

Almost surely, 2^12564192 is an apocalyptic number.

12564192 is a gapful number since it is divisible by the number (12) 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 12564192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17062920).

12564192 is an abundant number, since it is smaller than the sum of its proper divisors (21561648).

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

12564192 is a wasteful number, since it uses less digits than its factorization.

12564192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4555 (or 4547 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 12564192 is about 3544.6004006094. The cubic root of 12564192 is about 232.4760340657.

The spelling of 12564192 in words is "twelve million, five hundred sixty-four thousand, one hundred ninety-two".