85460224 has 72 divisors (see below), whose sum is σ = 183776040. Its totient is φ = 39518208.

The previous prime is 85460213. The next prime is 85460227. The reversal of 85460224 is 42206458.

It can be written as a sum of positive squares in 4 ways, for example, as 8020224 + 77440000 = 2832^2 + 8800^2 .

It is a super-2 number, since 2×85460224² = 14606899772260352, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85460227) 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, 317562 + ... + 317830.

It is an arithmetic number, because the mean of its divisors is an integer number (2552445).

Almost surely, 2^85460224 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 85460224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91888020).

85460224 is an abundant number, since it is smaller than the sum of its proper divisors (98315816).

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

85460224 is a wasteful number, since it uses less digits than its factorization.

85460224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The square root of 85460224 is about 9244.4699144948. The cubic root of 85460224 is about 440.4750791469.

The spelling of 85460224 in words is "eighty-five million, four hundred sixty thousand, two hundred twenty-four".