12935808 has 128 divisors (see below), whose sum is σ = 40392000. Its totient is φ = 4064256.

The previous prime is 12935807. The next prime is 12935833. The reversal of 12935808 is 80853921.

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

It is a super-2 number, since 2×12935808² = 334670257225728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12935801) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65566 + ... + 65762.

Almost surely, 2^12935808 is an apocalyptic number.

12935808 is a gapful number since it is divisible by the number (18) 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 12935808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20196000).

12935808 is an abundant number, since it is smaller than the sum of its proper divisors (27456192).

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

12935808 is a wasteful number, since it uses less digits than its factorization.

12935808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 12935808 is about 3596.6384305348. The cubic root of 12935808 is about 234.7458123762.

It can be divided in two parts, 129 and 35808, that added together give a cube (35937 = 33³).

The spelling of 12935808 in words is "twelve million, nine hundred thirty-five thousand, eight hundred eight".