13687968 has 48 divisors (see below), whose sum is σ = 41065920. Its totient is φ = 3910656.

The previous prime is 13687943. The next prime is 13687969. The reversal of 13687968 is 86978631.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (13687969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9513 + ... + 10856.

It is an arithmetic number, because the mean of its divisors is an integer number (855540).

Almost surely, 2^13687968 is an apocalyptic number.

It is an amenable number.

13687968 is an abundant number, since it is smaller than the sum of its proper divisors (27377952).

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

13687968 is a wasteful number, since it uses less digits than its factorization.

13687968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20389 (or 20381 counting only the distinct ones).

The product of its digits is 435456, while the sum is 48.

The square root of 13687968 is about 3699.7253952152. The cubic root of 13687968 is about 239.2101814065.

The spelling of 13687968 in words is "thirteen million, six hundred eighty-seven thousand, nine hundred sixty-eight".