85764 has 24 divisors (see below), whose sum is σ = 228928. Its totient is φ = 24480.

The previous prime is 85751. The next prime is 85781. The reversal of 85764 is 46758.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 427 + ... + 594.

2⁸⁵⁷⁶⁴ is an apocalyptic number.

85764 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

85764 is an abundant number, since it is smaller than the sum of its proper divisors (143164).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114464).

85764 is a wasteful number, since it uses less digits than its factorization.

85764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1033 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 85764 is about 292.8549128835. The cubic root of 85764 is about 44.0996364653.

The spelling of 85764 in words is "eighty-five thousand, seven hundred sixty-four".