20032800 has 144 divisors (see below), whose sum is σ = 69183072. Its totient is φ = 5017600.

The previous prime is 20032787. The next prime is 20032807. The reversal of 20032800 is 823002.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20032800.

It is not an unprimeable number, because it can be changed into a prime (20032807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40555 + ... + 41045.

It is an arithmetic number, because the mean of its divisors is an integer number (480438).

Almost surely, 2^20032800 is an apocalyptic number.

20032800 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 20032800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34591536).

20032800 is an abundant number, since it is smaller than the sum of its proper divisors (49150272).

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

20032800 is a wasteful number, since it uses less digits than its factorization.

20032800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 20032800 is about 4475.8016041822. The cubic root of 20032800 is about 271.5900687775.

Adding to 20032800 its reverse (823002), we get a palindrome (20855802).

The spelling of 20032800 in words is "twenty million, thirty-two thousand, eight hundred".