12874800 has 60 divisors (see below), whose sum is σ = 41246120. Its totient is φ = 3432960.

The previous prime is 12874793. The next prime is 12874847. The reversal of 12874800 is 847821.

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 (30).

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, 4165 + ... + 6564.

Almost surely, 2^12874800 is an apocalyptic number.

12874800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12874800 is an abundant number, since it is smaller than the sum of its proper divisors (28371320).

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

12874800 is a wasteful number, since it uses less digits than its factorization.

12874800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10750 (or 10739 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 12874800 is about 3588.1471541730. The cubic root of 12874800 is about 234.3761937717.

It can be divided in two parts, 12 and 874800, that multiplied together give a square (10497600 = 3240²).

The spelling of 12874800 in words is "twelve million, eight hundred seventy-four thousand, eight hundred".