208992 has 48 divisors (see below), whose sum is σ = 628992. Its totient is φ = 59520.

The previous prime is 208991. The next prime is 208993. The reversal of 208992 is 299802.

It is an interprime number because it is at equal distance from previous prime (208991) and next prime (208993).

It is a tau number, because it is divible by the number of its divisors (48).

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 208992.

It is not an unprimeable number, because it can be changed into a prime (208991) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 517 + ... + 827.

It is an arithmetic number, because the mean of its divisors is an integer number (13104).

2²⁰⁸⁹⁹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314496).

208992 is an abundant number, since it is smaller than the sum of its proper divisors (420000).

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

208992 is a wasteful number, since it uses less digits than its factorization.

208992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 323 counting only the distinct ones).

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

The square root of 208992 is about 457.1564283700. The cubic root of 208992 is about 59.3439642049.

The spelling of 208992 in words is "two hundred eight thousand, nine hundred ninety-two".