11591680 has 56 divisors (see below), whose sum is σ = 27916632. Its totient is φ = 4620288.

The previous prime is 11591659. The next prime is 11591681. The reversal of 11591680 is 8619511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11591681) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40819 + ... + 41101.

Almost surely, 2^11591680 is an apocalyptic number.

11591680 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 11591680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13958316).

11591680 is an abundant number, since it is smaller than the sum of its proper divisors (16324952).

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

11591680 is an frugal number, since it uses more digits than its factorization.

11591680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 31.

The square root of 11591680 is about 3404.6556360372. The cubic root of 11591680 is about 226.3161055474.

The spelling of 11591680 in words is "eleven million, five hundred ninety-one thousand, six hundred eighty".