11580712 has 64 divisors (see below), whose sum is σ = 26127360. Its totient is φ = 4742400.

The previous prime is 11580703. The next prime is 11580713. The reversal of 11580712 is 21708511.

It is a super-2 number, since 2×11580712² = 268225780853888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11580713) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60537 + ... + 60727.

It is an arithmetic number, because the mean of its divisors is an integer number (408240).

Almost surely, 2^11580712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11580712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13063680).

11580712 is an abundant number, since it is smaller than the sum of its proper divisors (14546648).

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

11580712 is a wasteful number, since it uses less digits than its factorization.

11580712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 25.

The square root of 11580712 is about 3403.0445192504. The cubic root of 11580712 is about 226.2447032326.

The spelling of 11580712 in words is "eleven million, five hundred eighty thousand, seven hundred twelve".