20842800 has 120 divisors (see below), whose sum is σ = 72882240. Its totient is φ = 5049600.

The previous prime is 20842763. The next prime is 20842817. The reversal of 20842800 is 824802.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12411 + ... + 13989.

It is an arithmetic number, because the mean of its divisors is an integer number (607352).

Almost surely, 2^20842800 is an apocalyptic number.

20842800 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 20842800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36441120).

20842800 is an abundant number, since it is smaller than the sum of its proper divisors (52039440).

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

20842800 is a wasteful number, since it uses less digits than its factorization.

20842800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1611 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 20842800 is about 4565.3915494731. The cubic root of 20842800 is about 275.2022754229.

It can be divided in two parts, 2084 and 2800, that added together give a palindrome (4884).

The spelling of 20842800 in words is "twenty million, eight hundred forty-two thousand, eight hundred".