11830680 has 96 divisors (see below), whose sum is σ = 39171600. Its totient is φ = 3095808.

The previous prime is 11830661. The next prime is 11830697. The reversal of 11830680 is 8603811.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20962 + ... + 21518.

Almost surely, 2^11830680 is an apocalyptic number.

11830680 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 11830680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19585800).

11830680 is an abundant number, since it is smaller than the sum of its proper divisors (27340920).

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

11830680 is a wasteful number, since it uses less digits than its factorization.

11830680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 11830680 is about 3439.5755552103. The cubic root of 11830680 is about 227.8609493786.

The spelling of 11830680 in words is "eleven million, eight hundred thirty thousand, six hundred eighty".