13932816 has 40 divisors (see below), whose sum is σ = 36336960. Its totient is φ = 4599936.

The previous prime is 13932811. The next prime is 13932829. The reversal of 13932816 is 61823931.

It is not an unprimeable number, because it can be changed into a prime (13932811) 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, 3901 + ... + 6563.

It is an arithmetic number, because the mean of its divisors is an integer number (908424).

Almost surely, 2^13932816 is an apocalyptic number.

13932816 is a gapful number since it is divisible by the number (16) 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 13932816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18168480).

13932816 is an abundant number, since it is smaller than the sum of its proper divisors (22404144).

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

13932816 is a wasteful number, since it uses less digits than its factorization.

13932816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2783 (or 2777 counting only the distinct ones).

The product of its digits is 7776, while the sum is 33.

The square root of 13932816 is about 3732.6687503715. The cubic root of 13932816 is about 240.6280771181.

The spelling of 13932816 in words is "thirteen million, nine hundred thirty-two thousand, eight hundred sixteen".