85256224 has 48 divisors (see below), whose sum is σ = 181136088. Its totient is φ = 39350272.

The previous prime is 85256219. The next prime is 85256233. The reversal of 85256224 is 42265258.

It can be written as a sum of positive squares in 4 ways, for example, as 77792400 + 7463824 = 8820^2 + 2732^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 85256224.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27354 + ... + 30310.

Almost surely, 2^85256224 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 85256224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90568044).

85256224 is an abundant number, since it is smaller than the sum of its proper divisors (95879864).

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

85256224 is a wasteful number, since it uses less digits than its factorization.

85256224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3037 (or 3029 counting only the distinct ones).

The product of its digits is 38400, while the sum is 34.

The square root of 85256224 is about 9233.4296986548. The cubic root of 85256224 is about 440.1243174891.

The spelling of 85256224 in words is "eighty-five million, two hundred fifty-six thousand, two hundred twenty-four".