11616680 has 32 divisors (see below), whose sum is σ = 26460000. Its totient is φ = 4589376.

The previous prime is 11616677. The next prime is 11616691. The reversal of 11616680 is 8661611.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1571 + ... + 5069.

It is an arithmetic number, because the mean of its divisors is an integer number (826875).

Almost surely, 2^11616680 is an apocalyptic number.

11616680 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 11616680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13230000).

11616680 is an abundant number, since it is smaller than the sum of its proper divisors (14843320).

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

11616680 is a wasteful number, since it uses less digits than its factorization.

11616680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3593 (or 3589 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 11616680 is about 3408.3251018646. The cubic root of 11616680 is about 226.4786888256.

The spelling of 11616680 in words is "eleven million, six hundred sixteen thousand, six hundred eighty".