12633456 has 80 divisors (see below), whose sum is σ = 36211968. Its totient is φ = 3763200.

The previous prime is 12633449. The next prime is 12633487. The reversal of 12633456 is 65433621.

It is a congruent number.

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, 37320 + ... + 37656.

Almost surely, 2^12633456 is an apocalyptic number.

12633456 is a gapful number since it is divisible by the number (16) 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 12633456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18105984).

12633456 is an abundant number, since it is smaller than the sum of its proper divisors (23578512).

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

12633456 is a wasteful number, since it uses less digits than its factorization.

12633456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 424 counting only the distinct ones).

The product of its digits is 12960, while the sum is 30.

The square root of 12633456 is about 3554.3573258748. The cubic root of 12633456 is about 232.9024501542.

The spelling of 12633456 in words is "twelve million, six hundred thirty-three thousand, four hundred fifty-six".