206928000 has 256 divisors, whose sum is σ = 763776000. Its totient is φ = 55065600.

The previous prime is 206927989. The next prime is 206928053. The reversal of 206928000 is 829602.

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

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 31 ways as a sum of consecutive naturals, for example, 431761 + ... + 432239.

It is an arithmetic number, because the mean of its divisors is an integer number (2983500).

Almost surely, 2^206928000 is an apocalyptic number.

206928000 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 206928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381888000).

206928000 is an abundant number, since it is smaller than the sum of its proper divisors (556848000).

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

206928000 is an equidigital number, since it uses as much as digits as its factorization.

206928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 206928000 is about 14384.9921793514. The cubic root of 206928000 is about 591.4795767215.

The spelling of 206928000 in words is "two hundred six million, nine hundred twenty-eight thousand".