12993264 has 80 divisors (see below), whose sum is σ = 39283200. Its totient is φ = 4100544.

The previous prime is 12993263. The next prime is 12993271. The reversal of 12993264 is 46239921.

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

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 (12993263) 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, 7417 + ... + 8999.

It is an arithmetic number, because the mean of its divisors is an integer number (491040).

Almost surely, 2^12993264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12993264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19641600).

12993264 is an abundant number, since it is smaller than the sum of its proper divisors (26289936).

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

12993264 is a wasteful number, since it uses less digits than its factorization.

12993264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1619 (or 1607 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 12993264 is about 3604.6170392983. The cubic root of 12993264 is about 235.0928499853.

The spelling of 12993264 in words is "twelve million, nine hundred ninety-three thousand, two hundred sixty-four".