11830500 has 144 divisors (see below), whose sum is σ = 40884480. Its totient is φ = 2856000.

The previous prime is 11830459. The next prime is 11830513. The reversal of 11830500 is 503811.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49381 + ... + 49619.

It is an arithmetic number, because the mean of its divisors is an integer number (283920).

Almost surely, 2^11830500 is an apocalyptic number.

11830500 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 11830500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20442240).

11830500 is an abundant number, since it is smaller than the sum of its proper divisors (29053980).

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

11830500 is a wasteful number, since it uses less digits than its factorization.

11830500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 11830500 is about 3439.5493890915. The cubic root of 11830500 is about 227.8597937624.

The spelling of 11830500 in words is "eleven million, eight hundred thirty thousand, five hundred".