13957840 has 40 divisors (see below), whose sum is σ = 34950888. Its totient is φ = 5153280.

The previous prime is 13957817. The next prime is 13957841. The reversal of 13957840 is 4875931.

It can be written as a sum of positive squares in 4 ways, for example, as 2096704 + 11861136 = 1448^2 + 3444^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 13957840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13957841) 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, 5671 + ... + 7750.

Almost surely, 2^13957840 is an apocalyptic number.

13957840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13957840 is an abundant number, since it is smaller than the sum of its proper divisors (20993048).

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

13957840 is a wasteful number, since it uses less digits than its factorization.

13957840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13447 (or 13441 counting only the distinct ones).

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

The square root of 13957840 is about 3736.0192718989. The cubic root of 13957840 is about 240.7720507805.

The spelling of 13957840 in words is "thirteen million, nine hundred fifty-seven thousand, eight hundred forty".