206920000 has 140 divisors (see below), whose sum is σ = 587187040. Its totient is φ = 70848000.

The previous prime is 206919997. The next prime is 206920027. The reversal of 206920000 is 29602.

It is a tau number, because it is divible by the number of its divisors (140).

It is a self number, because there is not a number n which added to its sum of digits gives 206920000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 279631 + ... + 280369.

Almost surely, 2^206920000 is an apocalyptic number.

206920000 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 206920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293593520).

206920000 is an abundant number, since it is smaller than the sum of its proper divisors (380267040).

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

206920000 is an frugal number, since it uses more digits than its factorization.

206920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 206920000 is about 14384.7141090812. The cubic root of 206920000 is about 591.4719542674.

Adding to 206920000 its reverse (29602), we get a palindrome (206949602).

The spelling of 206920000 in words is "two hundred six million, nine hundred twenty thousand".