12634800 has 60 divisors (see below), whose sum is σ = 40477320. Its totient is φ = 3368960.

The previous prime is 12634799. The next prime is 12634861. The reversal of 12634800 is 843621.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4065 + ... + 6464.

It is an arithmetic number, because the mean of its divisors is an integer number (674622).

Almost surely, 2^12634800 is an apocalyptic number.

12634800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12634800 is an abundant number, since it is smaller than the sum of its proper divisors (27842520).

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

12634800 is a wasteful number, since it uses less digits than its factorization.

12634800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10550 (or 10539 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 12634800 is about 3554.5463845616. The cubic root of 12634800 is about 232.9107089076.

It can be divided in two parts, 12 and 634800, that multiplied together give a square (7617600 = 2760²).

The spelling of 12634800 in words is "twelve million, six hundred thirty-four thousand, eight hundred".