13189792 has 96 divisors (see below), whose sum is σ = 33312384. Its totient is φ = 4992000.

The previous prime is 13189789. The next prime is 13189801. The reversal of 13189792 is 29798131.

It is a super-2 number, since 2×13189792² = 347941226006528, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130542 + ... + 130642.

It is an arithmetic number, because the mean of its divisors is an integer number (347004).

Almost surely, 2^13189792 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 13189792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16656192).

13189792 is an abundant number, since it is smaller than the sum of its proper divisors (20122592).

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

13189792 is a wasteful number, since it uses less digits than its factorization.

13189792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 174 counting only the distinct ones).

The product of its digits is 27216, while the sum is 40.

The square root of 13189792 is about 3631.7753234472. The cubic root of 13189792 is about 236.2722129483.

The spelling of 13189792 in words is "thirteen million, one hundred eighty-nine thousand, seven hundred ninety-two".