13756680 has 192 divisors, whose sum is σ = 52565760. Its totient is φ = 3055104.

The previous prime is 13756679. The next prime is 13756697. The reversal of 13756680 is 8665731.

13756680 is a `hidden beast` number, since 13 + 7 + 566 + 80 = 666.

It is a Cunningham number, because it is equal to 3709²-1.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133509 + ... + 133611.

It is an arithmetic number, because the mean of its divisors is an integer number (273780).

Almost surely, 2^13756680 is an apocalyptic number.

13756680 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 13756680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26282880).

13756680 is an abundant number, since it is smaller than the sum of its proper divisors (38809080).

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

13756680 is a wasteful number, since it uses less digits than its factorization.

13756680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 173 counting only the distinct ones).

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

The square root of 13756680 is about 3708.9998651928. Note that the first 3 decimals coincide. The cubic root of 13756680 is about 239.6097825536.

The spelling of 13756680 in words is "thirteen million, seven hundred fifty-six thousand, six hundred eighty".