985200 has 60 divisors (see below), whose sum is σ = 3159768. Its totient is φ = 262400.

The previous prime is 985181. The next prime is 985213. The reversal of 985200 is 2589.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 10.

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 985200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 790 + ... + 1610.

2⁹⁸⁵²⁰⁰ 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 985200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1579884).

985200 is an abundant number, since it is smaller than the sum of its proper divisors (2174568).

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

985200 is a wasteful number, since it uses less digits than its factorization.

985200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 831 counting only the distinct ones).

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

The square root of 985200 is about 992.5724154942. The cubic root of 985200 is about 99.5042126782.

Adding to 985200 its reverse (2589), we get a palindrome (987789).

The spelling of 985200 in words is "nine hundred eighty-five thousand, two hundred".