12657645 has 96 divisors (see below), whose sum is σ = 29562624. Its totient is φ = 4838400.

The previous prime is 12657637. The next prime is 12657691. The reversal of 12657645 is 54675621.

12657645 = T₃₂₆ + T₃₂₇ + ... + T₄₇₉.

It is a happy number.

12657645 is a `hidden beast` number, since 1 + 2 + 6 + 5 + 7 + 645 = 666.

12657645 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12657645 - 2³ = 12657637 is a prime.

It is a super-3 number, since 3×12657645³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44905 + ... + 45185.

It is an arithmetic number, because the mean of its divisors is an integer number (307944).

Almost surely, 2^12657645 is an apocalyptic number.

12657645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12657645 is an abundant number, since it is smaller than the sum of its proper divisors (16904979).

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

12657645 is a wasteful number, since it uses less digits than its factorization.

12657645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 320 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 12657645 is about 3557.7584235021. The cubic root of 12657645 is about 233.0509997838.

It can be divided in two parts, 126576 and 45, that added together give a palindrome (126621).

The spelling of 12657645 in words is "twelve million, six hundred fifty-seven thousand, six hundred forty-five".