85606 has 8 divisors (see below), whose sum is σ = 134064. Its totient is φ = 40920.

The previous prime is 85601. The next prime is 85607. The reversal of 85606 is 60658.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85601) by changing a digit.

85606 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, 885 + ... + 976.

It is an arithmetic number, because the mean of its divisors is an integer number (16758).

2⁸⁵⁶⁰⁶ is an apocalyptic number.

85606 is a deficient number, since it is larger than the sum of its proper divisors (48458).

85606 is a wasteful number, since it uses less digits than its factorization.

85606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1886.

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 85606 is about 292.5850303758. The cubic root of 85606 is about 44.0725387485.

It can be divided in two parts, 8560 and 6, that multiplied together give a triangular number (51360 = T₃₂₀).

The spelling of 85606 in words is "eighty-five thousand, six hundred six".