13680953 has 16 divisors (see below), whose sum is σ = 16632000. Its totient is φ = 11081280.

The previous prime is 13680949. The next prime is 13681033. The reversal of 13680953 is 35908631.

It is a cyclic number.

It is not a de Polignac number, because 13680953 - 2² = 13680949 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13680353) 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, 2498 + ... + 5796.

It is an arithmetic number, because the mean of its divisors is an integer number (1039500).

Almost surely, 2^13680953 is an apocalyptic number.

13680953 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13680953 is a deficient number, since it is larger than the sum of its proper divisors (2951047).

13680953 is a wasteful number, since it uses less digits than its factorization.

13680953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3352.

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 13680953 is about 3698.7772303830. Note that the first 3 decimals coincide. The cubic root of 13680953 is about 239.1693098379.

The spelling of 13680953 in words is "thirteen million, six hundred eighty thousand, nine hundred fifty-three".