13639968 has 48 divisors (see below), whose sum is σ = 39785760. Its totient is φ = 4546368.

The previous prime is 13639963. The next prime is 13639973. The reversal of 13639968 is 86993631.

13639968 is a `hidden beast` number, since 1 + 3 + 639 + 9 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (13639963) and next prime (13639973).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13639961) 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, 7030 + ... + 8757.

It is an arithmetic number, because the mean of its divisors is an integer number (828870).

Almost surely, 2^13639968 is an apocalyptic number.

13639968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13639968 is an abundant number, since it is smaller than the sum of its proper divisors (26145792).

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

13639968 is a wasteful number, since it uses less digits than its factorization.

13639968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15806 (or 15792 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 13639968 is about 3693.2327302784. The cubic root of 13639968 is about 238.9302387970.

It can be divided in two parts, 136 and 39968, that added together give a palindrome (40104).

The spelling of 13639968 in words is "thirteen million, six hundred thirty-nine thousand, nine hundred sixty-eight".