85000960 has 72 divisors (see below), whose sum is σ = 222150096. Its totient is φ = 30904320.

The previous prime is 85000933. The next prime is 85000961. The reversal of 85000960 is 6900058.

It is not an unprimeable number, because it can be changed into a prime (85000961) 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, 11062 + ... + 17098.

It is an arithmetic number, because the mean of its divisors is an integer number (3085418).

Almost surely, 2^85000960 is an apocalyptic number.

85000960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111075048).

85000960 is an abundant number, since it is smaller than the sum of its proper divisors (137149136).

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

85000960 is a wasteful number, since it uses less digits than its factorization.

85000960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6069 (or 6055 counting only the distinct ones).

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

The square root of 85000960 is about 9219.5965204558. The cubic root of 85000960 is about 439.6846224866.

The spelling of 85000960 in words is "eighty-five million, nine hundred sixty", and thus it is an aban number.