206696400 has 120 divisors (see below), whose sum is σ = 690997440. Its totient is φ = 52715520.

The previous prime is 206696381. The next prime is 206696417. The reversal of 206696400 is 4696602.

It is a tau number, because it is divible by the number of its divisors (120).

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, 23856 + ... + 31344.

It is an arithmetic number, because the mean of its divisors is an integer number (5758312).

Almost surely, 2^206696400 is an apocalyptic number.

206696400 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 206696400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345498720).

206696400 is an abundant number, since it is smaller than the sum of its proper divisors (484301040).

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

206696400 is a wasteful number, since it uses less digits than its factorization.

206696400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7533 (or 7522 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 206696400 is about 14376.9398691098. The cubic root of 206696400 is about 591.2588271399.

The spelling of 206696400 in words is "two hundred six million, six hundred ninety-six thousand, four hundred".