13817960 has 32 divisors (see below), whose sum is σ = 33483240. Its totient is φ = 5101824.

The previous prime is 13817933. The next prime is 13817987. The reversal of 13817960 is 6971831.

It is an interprime number because it is at equal distance from previous prime (13817933) and next prime (13817987).

It can be written as a sum of positive squares in 4 ways, for example, as 12773476 + 1044484 = 3574^2 + 1022^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13817960.

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, 12767 + ... + 13806.

Almost surely, 2^13817960 is an apocalyptic number.

13817960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13817960 is an abundant number, since it is smaller than the sum of its proper divisors (19665280).

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

13817960 is a wasteful number, since it uses less digits than its factorization.

13817960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26597 (or 26593 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 35.

The square root of 13817960 is about 3717.2516729433. The cubic root of 13817960 is about 239.9650412044.

The spelling of 13817960 in words is "thirteen million, eight hundred seventeen thousand, nine hundred sixty".