12633920 has 56 divisors (see below), whose sum is σ = 32409384. Its totient is φ = 4663296.

The previous prime is 12633911. The next prime is 12633931. The reversal of 12633920 is 2933621.

It can be written as a sum of positive squares in 4 ways, for example, as 1236544 + 11397376 = 1112^2 + 3376^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 12633920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2642 + ... + 5678.

It is an arithmetic number, because the mean of its divisors is an integer number (578739).

Almost surely, 2^12633920 is an apocalyptic number.

12633920 is a gapful number since it is divisible by the number (10) 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 12633920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16204692).

12633920 is an abundant number, since it is smaller than the sum of its proper divisors (19775464).

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

12633920 is a wasteful number, since it uses less digits than its factorization.

12633920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3067 (or 3057 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

The square root of 12633920 is about 3554.4225972723. The cubic root of 12633920 is about 232.9053014567.

The spelling of 12633920 in words is "twelve million, six hundred thirty-three thousand, nine hundred twenty".