13688946 has 32 divisors (see below), whose sum is σ = 31000320. Its totient is φ = 4475952.

The previous prime is 13688929. The next prime is 13688951. The reversal of 13688946 is 64988631.

It is a Curzon number.

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, 471 + ... + 5253.

It is an arithmetic number, because the mean of its divisors is an integer number (968760).

Almost surely, 2^13688946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13688946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15500160).

13688946 is an abundant number, since it is smaller than the sum of its proper divisors (17311374).

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

13688946 is a wasteful number, since it uses less digits than its factorization.

13688946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4847 (or 4841 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 13688946 is about 3699.8575648260. The cubic root of 13688946 is about 239.2158784290.

It can be divided in two parts, 1368894 and 6, that added together give a square (1368900 = 1170²).

The spelling of 13688946 in words is "thirteen million, six hundred eighty-eight thousand, nine hundred forty-six".