85824064 has 56 divisors (see below), whose sum is σ = 180787040. Its totient is φ = 40310784.

The previous prime is 85824059. The next prime is 85824073. The reversal of 85824064 is 46042858.

It is a super-2 number, since 2×85824064² = 14731539922952192, which contains 22 as substring.

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, 197992 + ... + 198424.

It is an arithmetic number, because the mean of its divisors is an integer number (3228340).

Almost surely, 2^85824064 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 85824064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90393520).

85824064 is an abundant number, since it is smaller than the sum of its proper divisors (94962976).

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

85824064 is a wasteful number, since it uses less digits than its factorization.

85824064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

The square root of 85824064 is about 9264.1278056814. The cubic root of 85824064 is about 441.0992898300.

The spelling of 85824064 in words is "eighty-five million, eight hundred twenty-four thousand, sixty-four".