20330800 has 120 divisors (see below), whose sum is σ = 57290976. Its totient is φ = 6789120.

The previous prime is 20330777. The next prime is 20330803. The reversal of 20330800 is 803302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (20330803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148332 + ... + 148468.

Almost surely, 2^20330800 is an apocalyptic number.

20330800 is a gapful number since it is divisible by the number (20) 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 20330800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28645488).

20330800 is an abundant number, since it is smaller than the sum of its proper divisors (36960176).

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

20330800 is a wasteful number, since it uses less digits than its factorization.

20330800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 20330800 is about 4508.9688399899. The cubic root of 20330800 is about 272.9301345904.

The spelling of 20330800 in words is "twenty million, three hundred thirty thousand, eight hundred".