18830800 has 60 divisors (see below), whose sum is σ = 45666720. Its totient is φ = 7461760.

The previous prime is 18830797. The next prime is 18830803. The reversal of 18830800 is 803881.

It is an interprime number because it is at equal distance from previous prime (18830797) and next prime (18830803).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18830803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71469 + ... + 71731.

It is an arithmetic number, because the mean of its divisors is an integer number (761112).

Almost surely, 2^18830800 is an apocalyptic number.

18830800 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 18830800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22833360).

18830800 is an abundant number, since it is smaller than the sum of its proper divisors (26835920).

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

18830800 is a wasteful number, since it uses less digits than its factorization.

18830800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 18830800 is about 4339.4469693729. The cubic root of 18830800 is about 266.0457079386.

The spelling of 18830800 in words is "eighteen million, eight hundred thirty thousand, eight hundred".