12604032 has 128 divisors (see below), whose sum is σ = 42595200. Its totient is φ = 3594240.

The previous prime is 12604019. The next prime is 12604057. The reversal of 12604032 is 23040621.

It is a happy number.

12604032 is a `hidden beast` number, since 1 + 260 + 403 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12603996 and 12604014.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23932 + ... + 24452.

It is an arithmetic number, because the mean of its divisors is an integer number (332775).

Almost surely, 2^12604032 is an apocalyptic number.

12604032 is a gapful number since it is divisible by the number (12) 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 12604032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21297600).

12604032 is an abundant number, since it is smaller than the sum of its proper divisors (29991168).

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

12604032 is an equidigital number, since it uses as much as digits as its factorization.

12604032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 12604032 is about 3550.2157680907. The cubic root of 12604032 is about 232.7214954769.

Adding to 12604032 its reverse (23040621), we get a palindrome (35644653).

The spelling of 12604032 in words is "twelve million, six hundred four thousand, thirty-two".