13708968 has 64 divisors (see below), whose sum is σ = 42188160. Its totient is φ = 3614976.

The previous prime is 13708951. The next prime is 13708969. The reversal of 13708968 is 86980731.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (13708969) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 955 + ... + 5322.

It is an arithmetic number, because the mean of its divisors is an integer number (659190).

Almost surely, 2^13708968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13708968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21094080).

13708968 is an abundant number, since it is smaller than the sum of its proper divisors (28479192).

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

13708968 is a wasteful number, since it uses less digits than its factorization.

13708968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6306 (or 6302 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 13708968 is about 3702.5623559908. The cubic root of 13708968 is about 239.3324505174.

The spelling of 13708968 in words is "thirteen million, seven hundred eight thousand, nine hundred sixty-eight".