13884968 has 32 divisors (see below), whose sum is σ = 27253800. Its totient is φ = 6623232.

The previous prime is 13884967. The next prime is 13885009. The reversal of 13884968 is 86948831.

It can be written as a sum of positive squares in 4 ways, for example, as 7941124 + 5943844 = 2818^2 + 2438^2 .

It is a super-2 number, since 2×13884968² = 385584672722048, which contains 22 as substring.

It is a Smith number, since the sum of its digits (47) 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 (13884967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22196 + ... + 22812.

Almost surely, 2^13884968 is an apocalyptic number.

It is an amenable number.

13884968 is a deficient number, since it is larger than the sum of its proper divisors (13368832).

13884968 is a wasteful number, since it uses less digits than its factorization.

13884968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 745 counting only the distinct ones).

The product of its digits is 331776, while the sum is 47.

The square root of 13884968 is about 3726.2538829232. The cubic root of 13884968 is about 240.3523066544.

The spelling of 13884968 in words is "thirteen million, eight hundred eighty-four thousand, nine hundred sixty-eight".