85624 has 32 divisors (see below), whose sum is σ = 201600. Its totient is φ = 33120.

The previous prime is 85621. The next prime is 85627. The reversal of 85624 is 42658.

85624 = T₇₇ + T₇₈ + ... + T₉₈.

It is an interprime number because it is at equal distance from previous prime (85621) and next prime (85627).

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, 547 + ... + 685.

It is an arithmetic number, because the mean of its divisors is an integer number (6300).

2⁸⁵⁶²⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100800).

85624 is an abundant number, since it is smaller than the sum of its proper divisors (115976).

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

85624 is a wasteful number, since it uses less digits than its factorization.

85624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 159 counting only the distinct ones).

The product of its digits is 1920, while the sum is 25.

The square root of 85624 is about 292.6157890477. The cubic root of 85624 is about 44.0756275122.

The spelling of 85624 in words is "eighty-five thousand, six hundred twenty-four".