20042800 has 60 divisors (see below), whose sum is σ = 48780360. Its totient is φ = 7912960.

The previous prime is 20042791. The next prime is 20042801. The reversal of 20042800 is 824002.

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 (20042801) 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, 35319 + ... + 35881.

It is an arithmetic number, because the mean of its divisors is an integer number (813006).

Almost surely, 2^20042800 is an apocalyptic number.

20042800 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 20042800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24390180).

20042800 is an abundant number, since it is smaller than the sum of its proper divisors (28737560).

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

20042800 is a wasteful number, since it uses less digits than its factorization.

20042800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 20042800 is about 4476.9185831328. The cubic root of 20042800 is about 271.6352521585.

Adding to 20042800 its reverse (824002), we get a palindrome (20866802).

The spelling of 20042800 in words is "twenty million, forty-two thousand, eight hundred".