11585980 has 24 divisors (see below), whose sum is σ = 27806688. Its totient is φ = 3972288.

The previous prime is 11585969. The next prime is 11585999. The reversal of 11585980 is 8958511.

11585980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 41239 + ... + 41518.

It is an arithmetic number, because the mean of its divisors is an integer number (1158612).

Almost surely, 2^11585980 is an apocalyptic number.

11585980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11585980 is an abundant number, since it is smaller than the sum of its proper divisors (16220708).

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

11585980 is a wasteful number, since it uses less digits than its factorization.

11585980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82773 (or 82771 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 37.

The square root of 11585980 is about 3403.8184440419. The cubic root of 11585980 is about 226.2790038415.

The spelling of 11585980 in words is "eleven million, five hundred eighty-five thousand, nine hundred eighty".