13791456 has 72 divisors (see below), whose sum is σ = 44828784. Its totient is φ = 3939840.

The previous prime is 13791451. The next prime is 13791469. The reversal of 13791456 is 65419731.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13791456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13791451) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1405 + ... + 5436.

It is an arithmetic number, because the mean of its divisors is an integer number (622622).

Almost surely, 2^13791456 is an apocalyptic number.

13791456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13791456 is an abundant number, since it is smaller than the sum of its proper divisors (31037328).

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

13791456 is a wasteful number, since it uses less digits than its factorization.

13791456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6864 (or 6853 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 13791456 is about 3713.6849624059. The cubic root of 13791456 is about 239.8115186837.

The spelling of 13791456 in words is "thirteen million, seven hundred ninety-one thousand, four hundred fifty-six".