11830860 has 120 divisors (see below), whose sum is σ = 38013360. Its totient is φ = 3079296.

The previous prime is 11830843. The next prime is 11830873. The reversal of 11830860 is 6803811.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 108486 + ... + 108594.

It is an arithmetic number, because the mean of its divisors is an integer number (316778).

Almost surely, 2^11830860 is an apocalyptic number.

11830860 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 11830860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19006680).

11830860 is an abundant number, since it is smaller than the sum of its proper divisors (26182500).

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

11830860 is a wasteful number, since it uses less digits than its factorization.

11830860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 186 counting only the distinct ones).

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

The square root of 11830860 is about 3439.6017211299. The cubic root of 11830860 is about 227.8621049832.

The spelling of 11830860 in words is "eleven million, eight hundred thirty thousand, eight hundred sixty".