18816800 has 72 divisors (see below), whose sum is σ = 47090736. Its totient is φ = 7338240.

The previous prime is 18816793. The next prime is 18816823. The reversal of 18816800 is 861881.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34127 + ... + 34673.

It is an arithmetic number, because the mean of its divisors is an integer number (654038).

Almost surely, 2^18816800 is an apocalyptic number.

18816800 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 18816800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23545368).

18816800 is an abundant number, since it is smaller than the sum of its proper divisors (28273936).

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

18816800 is a wasteful number, since it uses less digits than its factorization.

18816800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 32.

The square root of 18816800 is about 4337.8335606614. The cubic root of 18816800 is about 265.9797598936.

The spelling of 18816800 in words is "eighteen million, eight hundred sixteen thousand, eight hundred".