985600 has 120 divisors (see below), whose sum is σ = 3044448. Its totient is φ = 307200.

The previous prime is 985597. The next prime is 985601. The reversal of 985600 is 6589.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (985601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89595 + ... + 89605.

2⁹⁸⁵⁶⁰⁰ 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 985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522224).

985600 is an abundant number, since it is smaller than the sum of its proper divisors (2058848).

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

985600 is a wasteful number, since it uses less digits than its factorization.

985600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 985600 is about 992.7738916793. The cubic root of 985600 is about 99.5176773892.

The spelling of 985600 in words is "nine hundred eighty-five thousand, six hundred".