13967040 has 56 divisors (see below), whose sum is σ = 44348400. Its totient is φ = 3724288.

The previous prime is 13966993. The next prime is 13967053. The reversal of 13967040 is 4076931.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13966989 and 13967007.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6315 + ... + 8234.

Almost surely, 2^13967040 is an apocalyptic number.

13967040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13967040 is an abundant number, since it is smaller than the sum of its proper divisors (30381360).

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

13967040 is a wasteful number, since it uses less digits than its factorization.

13967040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14569 (or 14559 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 13967040 is about 3737.2503261088. The cubic root of 13967040 is about 240.8249390108.

The spelling of 13967040 in words is "thirteen million, nine hundred sixty-seven thousand, forty".