13960680 has 64 divisors (see below), whose sum is σ = 42128640. Its totient is φ = 3700992.

The previous prime is 13960679. The next prime is 13960691. The reversal of 13960680 is 8606931.

It is an unprimeable number.

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, 37857 + ... + 38223.

It is an arithmetic number, because the mean of its divisors is an integer number (658260).

Almost surely, 2^13960680 is an apocalyptic number.

13960680 is a gapful number since it is divisible by the number (10) 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 13960680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21064320).

13960680 is an abundant number, since it is smaller than the sum of its proper divisors (28167960).

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

13960680 is a wasteful number, since it uses less digits than its factorization.

13960680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 13960680 is about 3736.3993362594. The cubic root of 13960680 is about 240.7883796264.

The spelling of 13960680 in words is "thirteen million, nine hundred sixty thousand, six hundred eighty".