11584880 has 40 divisors (see below), whose sum is σ = 27118800. Its totient is φ = 4602368.

The previous prime is 11584879. The next prime is 11584883. The reversal of 11584880 is 8848511.

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

It is a super-2 number, since 2×11584880² = 268418889228800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11584880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11584883) 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, 13916 + ... + 14724.

It is an arithmetic number, because the mean of its divisors is an integer number (677970).

Almost surely, 2^11584880 is an apocalyptic number.

11584880 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 11584880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13559400).

11584880 is an abundant number, since it is smaller than the sum of its proper divisors (15533920).

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

11584880 is a wasteful number, since it uses less digits than its factorization.

11584880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 35.

The square root of 11584880 is about 3403.6568569702. The cubic root of 11584880 is about 226.2718424625.

The spelling of 11584880 in words is "eleven million, five hundred eighty-four thousand, eight hundred eighty".