890208 has 72 divisors (see below), whose sum is σ = 2771496. Its totient is φ = 268800.

The previous prime is 890177. The next prime is 890221. The reversal of 890208 is 802098.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

890208 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3028 + ... + 3308.

It is an arithmetic number, because the mean of its divisors is an integer number (38493).

2⁸⁹⁰²⁰⁸ is an apocalyptic number.

890208 is a gapful number since it is divisible by the number (88) 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 890208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385748).

890208 is an abundant number, since it is smaller than the sum of its proper divisors (1881288).

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

890208 is a wasteful number, since it uses less digits than its factorization.

890208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 890208 is about 943.5083465450. The cubic root of 890208 is about 96.1975100316.

The spelling of 890208 in words is "eight hundred ninety thousand, two hundred eight".