13379688 has 64 divisors (see below), whose sum is σ = 42480000. Its totient is φ = 3822336.

The previous prime is 13379669. The next prime is 13379689. The reversal of 13379688 is 88697331.

It is a happy number.

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 (13379689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2913 + ... + 5936.

It is an arithmetic number, because the mean of its divisors is an integer number (663750).

Almost surely, 2^13379688 is an apocalyptic number.

13379688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13379688 is an abundant number, since it is smaller than the sum of its proper divisors (29100312).

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

13379688 is a wasteful number, since it uses less digits than its factorization.

13379688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8871 (or 8861 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 13379688 is about 3657.8255835947. The cubic root of 13379688 is about 237.4007001316.

It can be divided in two parts, 1337 and 9688, that added together give a square (11025 = 105²).

The spelling of 13379688 in words is "thirteen million, three hundred seventy-nine thousand, six hundred eighty-eight".