13946920 has 32 divisors (see below), whose sum is σ = 33795720. Its totient is φ = 5149440.

The previous prime is 13946917. The next prime is 13946927. The reversal of 13946920 is 2964931.

It can be written as a sum of positive squares in 4 ways, for example, as 11303044 + 2643876 = 3362^2 + 1626^2 .

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (13946927) 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, 12891 + ... + 13930.

Almost surely, 2^13946920 is an apocalyptic number.

13946920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13946920 is an abundant number, since it is smaller than the sum of its proper divisors (19848800).

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

13946920 is a wasteful number, since it uses less digits than its factorization.

13946920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26845 (or 26841 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 13946920 is about 3734.5575373798. The cubic root of 13946920 is about 240.7092445785.

The spelling of 13946920 in words is "thirteen million, nine hundred forty-six thousand, nine hundred twenty".