206240800 has 72 divisors (see below), whose sum is σ = 510717312. Its totient is φ = 81312000.

The previous prime is 206240791. The next prime is 206240831. The reversal of 206240800 is 8042602.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54985 + ... + 58615.

It is an arithmetic number, because the mean of its divisors is an integer number (7093296).

Almost surely, 2^206240800 is an apocalyptic number.

206240800 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 206240800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255358656).

206240800 is an abundant number, since it is smaller than the sum of its proper divisors (304476512).

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

206240800 is a wasteful number, since it uses less digits than its factorization.

206240800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3722 (or 3709 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 206240800 is about 14361.0863098862. The cubic root of 206240800 is about 590.8240901941.

The spelling of 206240800 in words is "two hundred six million, two hundred forty thousand, eight hundred".