85760 has 36 divisors (see below), whose sum is σ = 208488. Its totient is φ = 33792.

The previous prime is 85751. The next prime is 85781. The reversal of 85760 is 6758.

It is a plaindrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 85760.

It is an unprimeable number.

85760 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 3 ways as a sum of consecutive naturals, for example, 1247 + ... + 1313.

2⁸⁵⁷⁶⁰ is an apocalyptic number.

85760 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 85760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104244).

85760 is an abundant number, since it is smaller than the sum of its proper divisors (122728).

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

85760 is an equidigital number, since it uses as much as digits as its factorization.

85760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 85760 is about 292.8480834836. The cubic root of 85760 is about 44.0989508580.

The spelling of 85760 in words is "eighty-five thousand, seven hundred sixty".