85690 has 32 divisors (see below), whose sum is σ = 181440. Its totient is φ = 28800.

The previous prime is 85669. The next prime is 85691. The reversal of 85690 is 9658.

It is a super-2 number, since 2×85690² = 14685552200, which contains 22 as substring.

It is an Ulam number.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85691) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2070 + ... + 2110.

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

2⁸⁵⁶⁹⁰ is an apocalyptic number.

85690 is an abundant number, since it is smaller than the sum of its proper divisors (95750).

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 (90720).

85690 is a wasteful number, since it uses less digits than its factorization.

85690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78.

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 85690 is about 292.7285431932. The cubic root of 85690 is about 44.0869492767.

It can be divided in two parts, 856 and 90, that added together give a triangular number (946 = T₄₃).

The spelling of 85690 in words is "eighty-five thousand, six hundred ninety".