12565632 has 64 divisors (see below), whose sum is σ = 34198560. Its totient is φ = 4085760.

The previous prime is 12565627. The next prime is 12565667. The reversal of 12565632 is 23656521.

It is a tau number, because it is divible by the number of its divisors (64).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 12565632.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16132 + ... + 16892.

Almost surely, 2^12565632 is an apocalyptic number.

12565632 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 12565632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17099280).

12565632 is an abundant number, since it is smaller than the sum of its proper divisors (21632928).

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

12565632 is an equidigital number, since it uses as much as digits as its factorization.

12565632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 809 counting only the distinct ones).

The product of its digits is 10800, while the sum is 30.

The square root of 12565632 is about 3544.8035206482. The cubic root of 12565632 is about 232.4849151966.

The spelling of 12565632 in words is "twelve million, five hundred sixty-five thousand, six hundred thirty-two".