12672400 has 60 divisors (see below), whose sum is σ = 32800852. Its totient is φ = 4677120.

The previous prime is 12672383. The next prime is 12672409. The reversal of 12672400 is 427621.

It can be written as a sum of positive squares in 6 ways, for example, as 55696 + 12616704 = 236^2 + 3552^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12672409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3982 + ... + 6418.

Almost surely, 2^12672400 is an apocalyptic number.

12672400 is a gapful number since it is divisible by the number (10) 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 12672400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16400426).

12672400 is an abundant number, since it is smaller than the sum of its proper divisors (20128452).

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

12672400 is a wasteful number, since it uses less digits than its factorization.

12672400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2468 (or 2457 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 12672400 is about 3559.8314566844. The cubic root of 12672400 is about 233.1415203668.

The spelling of 12672400 in words is "twelve million, six hundred seventy-two thousand, four hundred".