13079232 has 126 divisors (see below), whose sum is σ = 40264588. Its totient is φ = 4209408.

The previous prime is 13079219. The next prime is 13079233. The reversal of 13079232 is 23297031.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13079196 and 13079205.

It is not an unprimeable number, because it can be changed into a prime (13079233) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 450994 + ... + 451022.

Almost surely, 2^13079232 is an apocalyptic number.

13079232 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 13079232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20132294).

13079232 is an abundant number, since it is smaller than the sum of its proper divisors (27185356).

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

13079232 is an frugal number, since it uses more digits than its factorization.

13079232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 13079232 is about 3616.5220862038. The cubic root of 13079232 is about 235.6101963086.

Multiplying 13079232 by its sum of digits (27), we get a square (353139264 = 18792²).

13079232 divided by its sum of digits (27) gives a square (484416 = 696²).

The spelling of 13079232 in words is "thirteen million, seventy-nine thousand, two hundred thirty-two".