11585960 has 32 divisors (see below), whose sum is σ = 26321760. Its totient is φ = 4589376.

The previous prime is 11585957. The next prime is 11585969. The reversal of 11585960 is 6958511.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 11585960.

It is not an unprimeable number, because it can be changed into a prime (11585969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2927 + ... + 5633.

It is an arithmetic number, because the mean of its divisors is an integer number (822555).

Almost surely, 2^11585960 is an apocalyptic number.

11585960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11585960 is an abundant number, since it is smaller than the sum of its proper divisors (14735800).

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

11585960 is a wasteful number, since it uses less digits than its factorization.

11585960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2825 (or 2821 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 35.

The square root of 11585960 is about 3403.8155061636. The cubic root of 11585960 is about 226.2788736387.

The spelling of 11585960 in words is "eleven million, five hundred eighty-five thousand, nine hundred sixty".