85576 has 16 divisors (see below), whose sum is σ = 169200. Its totient is φ = 40464.

The previous prime is 85571. The next prime is 85577. The reversal of 85576 is 67558.

It is not an unprimeable number, because it can be changed into a prime (85571) by changing a digit.

85576 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 3 ways as a sum of consecutive naturals, for example, 130 + ... + 433.

It is an arithmetic number, because the mean of its divisors is an integer number (10575).

2⁸⁵⁵⁷⁶ is an apocalyptic number.

It is an amenable number.

85576 is a deficient number, since it is larger than the sum of its proper divisors (83624).

85576 is a wasteful number, since it uses less digits than its factorization.

85576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 584 counting only the distinct ones).

The product of its digits is 8400, while the sum is 31.

The square root of 85576 is about 292.5337587356. The cubic root of 85576 is about 44.0673898468.

It can be divided in two parts, 855 and 76, that multiplied together give a triangular number (64980 = T₃₆₀).

The spelling of 85576 in words is "eighty-five thousand, five hundred seventy-six".