13676580 has 192 divisors, whose sum is σ = 47308800. Its totient is φ = 3265920.

The previous prime is 13676563. The next prime is 13676581. The reversal of 13676580 is 8567631.

13676580 is a `hidden beast` number, since 1 + 3 + 6 + 76 + 580 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13676581) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 318039 + ... + 318081.

It is an arithmetic number, because the mean of its divisors is an integer number (246400).

Almost surely, 2^13676580 is an apocalyptic number.

13676580 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 13676580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23654400).

13676580 is an abundant number, since it is smaller than the sum of its proper divisors (33632220).

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

13676580 is a wasteful number, since it uses less digits than its factorization.

13676580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 13676580 is about 3698.1860418319. The cubic root of 13676580 is about 239.1438243120.

The spelling of 13676580 in words is "thirteen million, six hundred seventy-six thousand, five hundred eighty".