85920 has 48 divisors (see below), whose sum is σ = 272160. Its totient is φ = 22784.

The previous prime is 85909. The next prime is 85931. The reversal of 85920 is 2958.

It is an interprime number because it is at equal distance from previous prime (85909) and next prime (85931).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 391 + ... + 569.

It is an arithmetic number, because the mean of its divisors is an integer number (5670).

2⁸⁵⁹²⁰ is an apocalyptic number.

85920 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 85920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136080).

85920 is an abundant number, since it is smaller than the sum of its proper divisors (186240).

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

85920 is a wasteful number, since it uses less digits than its factorization.

85920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 85920 is about 293.1211353690. The cubic root of 85920 is about 44.1263585412.

The spelling of 85920 in words is "eighty-five thousand, nine hundred twenty".