20680800 has 144 divisors (see below), whose sum is σ = 76995072. Its totient is φ = 4723200.

The previous prime is 20680787. The next prime is 20680811. The reversal of 20680800 is 808602.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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, 16185 + ... + 17415.

It is an arithmetic number, because the mean of its divisors is an integer number (534688).

Almost surely, 2^20680800 is an apocalyptic number.

20680800 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 20680800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38497536).

20680800 is an abundant number, since it is smaller than the sum of its proper divisors (56314272).

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

20680800 is a wasteful number, since it uses less digits than its factorization.

20680800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1261 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 20680800 is about 4547.6147594096. The cubic root of 20680800 is about 274.4874198368.

The spelling of 20680800 in words is "twenty million, six hundred eighty thousand, eight hundred".