13000680 has 288 divisors, whose sum is σ = 54419040. Its totient is φ = 2661120.

The previous prime is 13000679. The next prime is 13000711. The reversal of 13000680 is 8600031.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 194007 + ... + 194073.

It is an arithmetic number, because the mean of its divisors is an integer number (188955).

Almost surely, 2^13000680 is an apocalyptic number.

13000680 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 13000680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27209520).

13000680 is an abundant number, since it is smaller than the sum of its proper divisors (41418360).

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

13000680 is a wasteful number, since it uses less digits than its factorization.

13000680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 13000680 is about 3605.6455732642. The cubic root of 13000680 is about 235.1375684636.

The spelling of 13000680 in words is "thirteen million, six hundred eighty", and thus it is an aban number.