12633432 has 64 divisors (see below), whose sum is σ = 36422400. Its totient is φ = 3576960.

The previous prime is 12633419. The next prime is 12633433. The reversal of 12633432 is 23433621.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12633433) 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, 23082 + ... + 23622.

It is an arithmetic number, because the mean of its divisors is an integer number (569100).

Almost surely, 2^12633432 is an apocalyptic number.

12633432 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 12633432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18211200).

12633432 is an abundant number, since it is smaller than the sum of its proper divisors (23788968).

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

12633432 is a wasteful number, since it uses less digits than its factorization.

12633432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 692 counting only the distinct ones).

The product of its digits is 2592, while the sum is 24.

The square root of 12633432 is about 3554.3539497355. The cubic root of 12633432 is about 232.9023026711.

The spelling of 12633432 in words is "twelve million, six hundred thirty-three thousand, four hundred thirty-two".