11585680 has 40 divisors (see below), whose sum is σ = 27232632. Its totient is φ = 4583424.

The previous prime is 11585671. The next prime is 11585701. The reversal of 11585680 is 8658511.

It can be written as a sum of positive squares in 4 ways, for example, as 2729104 + 8856576 = 1652^2 + 2976^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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, 7014 + ... + 8506.

Almost surely, 2^11585680 is an apocalyptic number.

11585680 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 11585680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13616316).

11585680 is an abundant number, since it is smaller than the sum of its proper divisors (15646952).

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

11585680 is a wasteful number, since it uses less digits than its factorization.

11585680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1603 (or 1597 counting only the distinct ones).

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

The square root of 11585680 is about 3403.7743756013. The cubic root of 11585680 is about 226.2770507831.

The spelling of 11585680 in words is "eleven million, five hundred eighty-five thousand, six hundred eighty".