985768 has 32 divisors (see below), whose sum is σ = 2188800. Its totient is φ = 407232.

The previous prime is 985759. The next prime is 985781. The reversal of 985768 is 867589.

It is a happy number.

It is an unprimeable number.

985768 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 7 ways as a sum of consecutive naturals, for example, 1321 + ... + 1927.

It is an arithmetic number, because the mean of its divisors is an integer number (68400).

985768 is a Friedman number, since it can be written as 7*(9^6+8-5^8), using all its digits and the basic arithmetic operations.

2⁹⁸⁵⁷⁶⁸ 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 985768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1094400).

985768 is an abundant number, since it is smaller than the sum of its proper divisors (1203032).

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

985768 is a wasteful number, since it uses less digits than its factorization.

985768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 645 counting only the distinct ones).

The product of its digits is 120960, while the sum is 43.

The square root of 985768 is about 992.8584994852. The cubic root of 985768 is about 99.5233314814.

The spelling of 985768 in words is "nine hundred eighty-five thousand, seven hundred sixty-eight".