206906400 has 360 divisors, whose sum is σ = 786449664. Its totient is φ = 52876800.

The previous prime is 206906383. The next prime is 206906437. The reversal of 206906400 is 4609602.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2008749 + ... + 2008851.

Almost surely, 2^206906400 is an apocalyptic number.

206906400 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 206906400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393224832).

206906400 is an abundant number, since it is smaller than the sum of its proper divisors (579543264).

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

206906400 is a wasteful number, since it uses less digits than its factorization.

206906400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 206906400 is about 14384.2413772851. The cubic root of 206906400 is about 591.4589956444.

The spelling of 206906400 in words is "two hundred six million, nine hundred six thousand, four hundred".