11586960 has 360 divisors, whose sum is σ = 51455040. Its totient is φ = 2280960.

The previous prime is 11586937. The next prime is 11586977. The reversal of 11586960 is 6968511.

11586960 is a `hidden beast` number, since 11 + 586 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 609831 + ... + 609849.

Almost surely, 2^11586960 is an apocalyptic number.

11586960 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 11586960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25727520).

11586960 is an abundant number, since it is smaller than the sum of its proper divisors (39868080).

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

11586960 is a wasteful number, since it uses less digits than its factorization.

11586960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 11586960 is about 3403.9623969721. The cubic root of 11586960 is about 226.2853835974.

It can be divided in two parts, 1158 and 6960, that added together give a palindrome (8118).

The spelling of 11586960 in words is "eleven million, five hundred eighty-six thousand, nine hundred sixty".