20512800 has 432 divisors, whose sum is σ = 92619072. Its totient is φ = 4147200.

The previous prime is 20512771. The next prime is 20512841. The reversal of 20512800 is 821502.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 554382 + ... + 554418.

It is an arithmetic number, because the mean of its divisors is an integer number (214396).

Almost surely, 2^20512800 is an apocalyptic number.

20512800 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 20512800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46309536).

20512800 is an abundant number, since it is smaller than the sum of its proper divisors (72106272).

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

20512800 is a wasteful number, since it uses less digits than its factorization.

20512800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 20512800 is about 4529.1058720237. The cubic root of 20512800 is about 273.7421340080.

It can be divided in two parts, 20512 and 800, that added together give a palindrome (21312).

The spelling of 20512800 in words is "twenty million, five hundred twelve thousand, eight hundred".