85456 has 30 divisors (see below), whose sum is σ = 194370. Its totient is φ = 36288.

The previous prime is 85453. The next prime is 85469. The reversal of 85456 is 65458.

It can be written as a sum of positive squares in only one way, i.e., 78400 + 7056 = 280^2 + 84^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

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 (85451) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 730 + ... + 838.

It is an arithmetic number, because the mean of its divisors is an integer number (6479).

2⁸⁵⁴⁵⁶ 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 85456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97185).

85456 is an abundant number, since it is smaller than the sum of its proper divisors (108914).

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

85456 is a wasteful number, since it uses less digits than its factorization.

85456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 118 counting only the distinct ones).

The product of its digits is 4800, while the sum is 28.

The square root of 85456 is about 292.3285822495. The cubic root of 85456 is about 44.0467821980.

Subtracting from 85456 its product of digits (4800), we obtain a square (80656 = 284²).

The spelling of 85456 in words is "eighty-five thousand, four hundred fifty-six".