84968 has 32 divisors (see below), whose sum is σ = 184800. Its totient is φ = 36288.

The previous prime is 84967. The next prime is 84977. The reversal of 84968 is 86948.

It is a super-2 number, since 2×84968² = 14439122048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (84961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1955 + ... + 1997.

It is an arithmetic number, because the mean of its divisors is an integer number (5775).

2⁸⁴⁹⁶⁸ 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 84968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92400).

84968 is an abundant number, since it is smaller than the sum of its proper divisors (99832).

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

84968 is a wasteful number, since it uses less digits than its factorization.

84968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 77 counting only the distinct ones).

The product of its digits is 13824, while the sum is 35.

The square root of 84968 is about 291.4927100289. The cubic root of 84968 is about 43.9627784389.

The spelling of 84968 in words is "eighty-four thousand, nine hundred sixty-eight".