85620 has 24 divisors (see below), whose sum is σ = 239904. Its totient is φ = 22816.

The previous prime is 85619. The next prime is 85621. The reversal of 85620 is 2658.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (85619) and next prime (85621).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85621) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 654 + ... + 773.

It is an arithmetic number, because the mean of its divisors is an integer number (9996).

2⁸⁵⁶²⁰ is an apocalyptic number.

It is an amenable number.

85620 is an abundant number, since it is smaller than the sum of its proper divisors (154284).

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 (119952).

85620 is a wasteful number, since it uses less digits than its factorization.

85620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 85620 is about 292.6089540667. The cubic root of 85620 is about 44.0749411577.

The spelling of 85620 in words is "eighty-five thousand, six hundred twenty".