13687296 has 160 divisors (see below), whose sum is σ = 44520960. Its totient is φ = 3649536.

The previous prime is 13687279. The next prime is 13687301. The reversal of 13687296 is 69278631.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204255 + ... + 204321.

It is an arithmetic number, because the mean of its divisors is an integer number (278256).

Almost surely, 2^13687296 is an apocalyptic number.

13687296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13687296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22260480).

13687296 is an abundant number, since it is smaller than the sum of its proper divisors (30833664).

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

13687296 is an equidigital number, since it uses as much as digits as its factorization.

13687296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 98 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 13687296 is about 3699.6345765494. The cubic root of 13687296 is about 239.2062667307.

The spelling of 13687296 in words is "thirteen million, six hundred eighty-seven thousand, two hundred ninety-six".