85649824 has 48 divisors (see below), whose sum is σ = 182595168. Its totient is φ = 39313152.

The previous prime is 85649813. The next prime is 85649833. The reversal of 85649824 is 42894658.

It is a congruent number.

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, 93979 + ... + 94885.

It is an arithmetic number, because the mean of its divisors is an integer number (3804066).

Almost surely, 2^85649824 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 85649824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91297584).

85649824 is an abundant number, since it is smaller than the sum of its proper divisors (96945344).

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

85649824 is a wasteful number, since it uses less digits than its factorization.

85649824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1149 counting only the distinct ones).

The product of its digits is 552960, while the sum is 46.

The square root of 85649824 is about 9254.7190124822. The cubic root of 85649824 is about 440.8005810250.

The spelling of 85649824 in words is "eighty-five million, six hundred forty-nine thousand, eight hundred twenty-four".