11930800 has 60 divisors (see below), whose sum is σ = 32766256. Its totient is φ = 4089600.

The previous prime is 11930773. The next prime is 11930801. The reversal of 11930800 is 803911.

It is not an unprimeable number, because it can be changed into a prime (11930801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 670 + ... + 4930.

Almost surely, 2^11930800 is an apocalyptic number.

11930800 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 11930800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16383128).

11930800 is an abundant number, since it is smaller than the sum of its proper divisors (20835456).

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

11930800 is a wasteful number, since it uses less digits than its factorization.

11930800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4286 (or 4275 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 11930800 is about 3454.0990142149. The cubic root of 11930800 is about 228.5019208294.

The spelling of 11930800 in words is "eleven million, nine hundred thirty thousand, eight hundred".