11599680 has 112 divisors (see below), whose sum is σ = 37819584. Its totient is φ = 3010560.

The previous prime is 11599667. The next prime is 11599691. The reversal of 11599680 is 8699511.

11599680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11599680² = 269105152204800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41140 + ... + 41420.

Almost surely, 2^11599680 is an apocalyptic number.

11599680 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 11599680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18909792).

11599680 is an abundant number, since it is smaller than the sum of its proper divisors (26219904).

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

11599680 is a wasteful number, since it uses less digits than its factorization.

11599680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 39.

The square root of 11599680 is about 3405.8302952437. The cubic root of 11599680 is about 226.3681576080.

The spelling of 11599680 in words is "eleven million, five hundred ninety-nine thousand, six hundred eighty".