206905200 has 60 divisors (see below), whose sum is σ = 662790168. Its totient is φ = 55174400.

The previous prime is 206905189. The next prime is 206905211. The reversal of 206905200 is 2509602.

206905200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (206905189) and next prime (206905211).

It is a tau number, because it is divible by the number of its divisors (60).

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 11 ways as a sum of consecutive naturals, for example, 85011 + ... + 87410.

Almost surely, 2^206905200 is an apocalyptic number.

206905200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206905200 is an abundant number, since it is smaller than the sum of its proper divisors (455884968).

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

206905200 is a wasteful number, since it uses less digits than its factorization.

206905200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172442 (or 172431 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 206905200 is about 14384.1996649101. The cubic root of 206905200 is about 591.4578522092.

The spelling of 206905200 in words is "two hundred six million, nine hundred five thousand, two hundred".