11583680 has 56 divisors (see below), whose sum is σ = 28145232. Its totient is φ = 4539392.

The previous prime is 11583679. The next prime is 11583683. The reversal of 11583680 is 8638511.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (11583683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16619 + ... + 17301.

Almost surely, 2^11583680 is an apocalyptic number.

11583680 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 11583680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14072616).

11583680 is an abundant number, since it is smaller than the sum of its proper divisors (16561552).

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

11583680 is an equidigital number, since it uses as much as digits as its factorization.

11583680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 11583680 is about 3403.4805714151. The cubic root of 11583680 is about 226.2640295320.

The spelling of 11583680 in words is "eleven million, five hundred eighty-three thousand, six hundred eighty".