12633520 has 40 divisors (see below), whose sum is σ = 29823984. Its totient is φ = 4975872.

The previous prime is 12633503. The next prime is 12633521. The reversal of 12633520 is 2533621.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 12633491 and 12633500.

It is not an unprimeable number, because it can be changed into a prime (12633521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4182 + ... + 6538.

Almost surely, 2^12633520 is an apocalyptic number.

12633520 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 12633520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14911992).

12633520 is an abundant number, since it is smaller than the sum of its proper divisors (17190464).

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

12633520 is a wasteful number, since it uses less digits than its factorization.

12633520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2437 (or 2431 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 12633520 is about 3554.3663288975. The cubic root of 12633520 is about 232.9028434415.

The spelling of 12633520 in words is "twelve million, six hundred thirty-three thousand, five hundred twenty".