206398800 has 240 divisors, whose sum is σ = 761112000. Its totient is φ = 53061120.

The previous prime is 206398789. The next prime is 206398811. The reversal of 206398800 is 8893602.

It is an interprime number because it is at equal distance from previous prime (206398789) and next prime (206398811).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 312871 + ... + 313529.

It is an arithmetic number, because the mean of its divisors is an integer number (3171300).

Almost surely, 2^206398800 is an apocalyptic number.

206398800 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 206398800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380556000).

206398800 is an abundant number, since it is smaller than the sum of its proper divisors (554713200).

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

206398800 is a wasteful number, since it uses less digits than its factorization.

206398800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 206398800 is about 14366.5862333402. The cubic root of 206398800 is about 590.9749274323.

The spelling of 206398800 in words is "two hundred six million, three hundred ninety-eight thousand, eight hundred".