20874800 has 60 divisors (see below), whose sum is σ = 52355280. Its totient is φ = 7983360.

The previous prime is 20874779. The next prime is 20874817. The reversal of 20874800 is 847802.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 8066 + ... + 10334.

It is an arithmetic number, because the mean of its divisors is an integer number (872588).

Almost surely, 2^20874800 is an apocalyptic number.

20874800 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 20874800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26177640).

20874800 is an abundant number, since it is smaller than the sum of its proper divisors (31480480).

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

20874800 is a wasteful number, since it uses less digits than its factorization.

20874800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2310 (or 2299 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 20874800 is about 4568.8948335456. The cubic root of 20874800 is about 275.3430429747.

The spelling of 20874800 in words is "twenty million, eight hundred seventy-four thousand, eight hundred".