11620680 has 64 divisors (see below), whose sum is σ = 35121600. Its totient is φ = 3075840.

The previous prime is 11620667. The next prime is 11620711. The reversal of 11620680 is 8602611.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11620680.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21210 + ... + 21750.

It is an arithmetic number, because the mean of its divisors is an integer number (548775).

Almost surely, 2^11620680 is an apocalyptic number.

11620680 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 11620680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17560800).

11620680 is an abundant number, since it is smaller than the sum of its proper divisors (23500920).

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

11620680 is a wasteful number, since it uses less digits than its factorization.

11620680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 11620680 is about 3408.9118498430. The cubic root of 11620680 is about 226.5046804972.

The spelling of 11620680 in words is "eleven million, six hundred twenty thousand, six hundred eighty".