208992000 has 288 divisors, whose sum is σ = 795884544. Its totient is φ = 47616000.

The previous prime is 208991969. The next prime is 208992037. The reversal of 208992000 is 299802.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 671845 + ... + 672155.

It is an arithmetic number, because the mean of its divisors is an integer number (2763488).

Almost surely, 2^208992000 is an apocalyptic number.

208992000 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 208992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397942272).

208992000 is an abundant number, since it is smaller than the sum of its proper divisors (586892544).

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

208992000 is an equidigital number, since it uses as much as digits as its factorization.

208992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 208992000 is about 14456.5556063677. Note that the first 3 decimals coincide. The cubic root of 208992000 is about 593.4396420491.

The spelling of 208992000 in words is "two hundred eight million, nine hundred ninety-two thousand".