85533824 has 48 divisors (see below), whose sum is σ = 174255270. Its totient is φ = 41816064.

The previous prime is 85533821. The next prime is 85533829. The reversal of 85533824 is 42833558.

It can be written as a sum of positive squares in only one way, i.e., 74511424 + 11022400 = 8632^2 + 3320^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85533821) 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, 881744 + ... + 881840.

Almost surely, 2^85533824 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 85533824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87127635).

85533824 is an abundant number, since it is smaller than the sum of its proper divisors (88721446).

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

85533824 is an frugal number, since it uses more digits than its factorization.

85533824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 182 counting only the distinct ones).

The product of its digits is 115200, while the sum is 38.

The square root of 85533824 is about 9248.4498160503. The cubic root of 85533824 is about 440.6014914205.

The spelling of 85533824 in words is "eighty-five million, five hundred thirty-three thousand, eight hundred twenty-four".