13975840 has 48 divisors (see below), whose sum is σ = 33353208. Its totient is φ = 5533696.

The previous prime is 13975799. The next prime is 13975859. The reversal of 13975840 is 4857931.

It can be written as a sum of positive squares in 4 ways, for example, as 3400336 + 10575504 = 1844^2 + 3252^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 13975840.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17694 + ... + 18466.

Almost surely, 2^13975840 is an apocalyptic number.

13975840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13975840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16676604).

13975840 is an abundant number, since it is smaller than the sum of its proper divisors (19377368).

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

13975840 is a wasteful number, since it uses less digits than its factorization.

13975840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 13975840 is about 3738.4274768945. The cubic root of 13975840 is about 240.8755060251.

The spelling of 13975840 in words is "thirteen million, nine hundred seventy-five thousand, eight hundred forty".