985968 has 60 divisors (see below), whose sum is σ = 2843568. Its totient is φ = 318720.

The previous prime is 985951. The next prime is 985969. The reversal of 985968 is 869589.

985968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (985969) by changing a digit.

985968 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, 5821 + ... + 5987.

2⁹⁸⁵⁹⁶⁸ 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 985968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1421784).

985968 is an abundant number, since it is smaller than the sum of its proper divisors (1857600).

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

985968 is a wasteful number, since it uses less digits than its factorization.

985968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 213 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 985968 is about 992.9592136639. The cubic root of 985968 is about 99.5300617061.

It can be divided in two parts, 985 and 968, that added together give a triangular number (1953 = T₆₂).

The spelling of 985968 in words is "nine hundred eighty-five thousand, nine hundred sixty-eight".