13968280 has 16 divisors (see below), whose sum is σ = 31428720. Its totient is φ = 5587296.

The previous prime is 13968239. The next prime is 13968281. The reversal of 13968280 is 8286931.

It is a super-2 number, since 2×13968280² = 390225692316800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13968281) 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 3 ways as a sum of consecutive naturals, for example, 174564 + ... + 174643.

It is an arithmetic number, because the mean of its divisors is an integer number (1964295).

Almost surely, 2^13968280 is an apocalyptic number.

13968280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13968280 is an abundant number, since it is smaller than the sum of its proper divisors (17460440).

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

13968280 is a wasteful number, since it uses less digits than its factorization.

13968280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349218 (or 349214 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 13968280 is about 3737.4162197968. The cubic root of 13968280 is about 240.8320656481.

The spelling of 13968280 in words is "thirteen million, nine hundred sixty-eight thousand, two hundred eighty".