12608400 has 240 divisors, whose sum is σ = 49203200. Its totient is φ = 2695680.

The previous prime is 12608383. The next prime is 12608429. The reversal of 12608400 is 480621.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159561 + ... + 159639.

Almost surely, 2^12608400 is an apocalyptic number.

12608400 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 12608400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24601600).

12608400 is an abundant number, since it is smaller than the sum of its proper divisors (36594800).

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

12608400 is a wasteful number, since it uses less digits than its factorization.

12608400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 12608400 is about 3550.8308886794. The cubic root of 12608400 is about 232.7483760308.

The spelling of 12608400 in words is "twelve million, six hundred eight thousand, four hundred".