13416832 has 64 divisors (see below), whose sum is σ = 31444560. Its totient is φ = 5621760.

The previous prime is 13416827. The next prime is 13416833. The reversal of 13416832 is 23861431.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×13416832² = 360022761832448, which contains 22 as substring.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 13416832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13416833) 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, 17938 + ... + 18670.

Almost surely, 2^13416832 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 13416832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15722280).

13416832 is an abundant number, since it is smaller than the sum of its proper divisors (18027728).

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

13416832 is a wasteful number, since it uses less digits than its factorization.

13416832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 759 counting only the distinct ones).

The product of its digits is 3456, while the sum is 28.

The square root of 13416832 is about 3662.8993980179. The cubic root of 13416832 is about 237.6201836784.

The spelling of 13416832 in words is "thirteen million, four hundred sixteen thousand, eight hundred thirty-two".