11558680 has 32 divisors (see below), whose sum is σ = 29723040. Its totient is φ = 3962880.

The previous prime is 11558647. The next prime is 11558683. The reversal of 11558680 is 8685511.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11558683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20361 + ... + 20920.

It is an arithmetic number, because the mean of its divisors is an integer number (928845).

Almost surely, 2^11558680 is an apocalyptic number.

11558680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11558680 is an abundant number, since it is smaller than the sum of its proper divisors (18164360).

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

11558680 is a wasteful number, since it uses less digits than its factorization.

11558680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41299 (or 41295 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 34.

The square root of 11558680 is about 3399.8058768112. The cubic root of 11558680 is about 226.1011372848.

The spelling of 11558680 in words is "eleven million, five hundred fifty-eight thousand, six hundred eighty".