12608352 has 48 divisors (see below), whose sum is σ = 36776880. Its totient is φ = 4202496.

The previous prime is 12608327. The next prime is 12608353. The reversal of 12608352 is 25380621.

12608352 is a `hidden beast` number, since 1 + 2 + 608 + 3 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12608353) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6433 + ... + 8160.

It is an arithmetic number, because the mean of its divisors is an integer number (766185).

Almost surely, 2^12608352 is an apocalyptic number.

12608352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12608352 is an abundant number, since it is smaller than the sum of its proper divisors (24168528).

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

12608352 is a wasteful number, since it uses less digits than its factorization.

12608352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14612 (or 14598 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 12608352 is about 3550.8241296916. The cubic root of 12608352 is about 232.7480806739.

Adding to 12608352 its reverse (25380621), we get a palindrome (37988973).

The spelling of 12608352 in words is "twelve million, six hundred eight thousand, three hundred fifty-two".