13688332 has 48 divisors (see below), whose sum is σ = 29332800. Its totient is φ = 5455872.

The previous prime is 13688317. The next prime is 13688333. The reversal of 13688332 is 23388631.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (13688333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70828 + ... + 71020.

It is an arithmetic number, because the mean of its divisors is an integer number (611100).

Almost surely, 2^13688332 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 13688332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14666400).

13688332 is an abundant number, since it is smaller than the sum of its proper divisors (15644468).

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

13688332 is a wasteful number, since it uses less digits than its factorization.

13688332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 368 counting only the distinct ones).

The product of its digits is 20736, while the sum is 34.

The square root of 13688332 is about 3699.7745877283. The cubic root of 13688332 is about 239.2123018024.

The spelling of 13688332 in words is "thirteen million, six hundred eighty-eight thousand, three hundred thirty-two".