208950 has 48 divisors (see below), whose sum is σ = 595200. Its totient is φ = 47520.

The previous prime is 208933. The next prime is 208961. The reversal of 208950 is 59802.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 208950.

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, 951 + ... + 1149.

It is an arithmetic number, because the mean of its divisors is an integer number (12400).

2²⁰⁸⁹⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297600).

208950 is an abundant number, since it is smaller than the sum of its proper divisors (386250).

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

208950 is a wasteful number, since it uses less digits than its factorization.

208950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 208950 is about 457.1104899256. The cubic root of 208950 is about 59.3399885926.

The spelling of 208950 in words is "two hundred eight thousand, nine hundred fifty".