85284840 has 64 divisors (see below), whose sum is σ = 257745600. Its totient is φ = 22574592.

The previous prime is 85284827. The next prime is 85284887. The reversal of 85284840 is 4848258.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14124 + ... + 19236.

It is an arithmetic number, because the mean of its divisors is an integer number (4027275).

Almost surely, 2^85284840 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 85284840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128872800).

85284840 is an abundant number, since it is smaller than the sum of its proper divisors (172460760).

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

85284840 is a wasteful number, since it uses less digits than its factorization.

85284840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5266 (or 5262 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 39.

The square root of 85284840 is about 9234.9791553636. The cubic root of 85284840 is about 440.1735541236.

The spelling of 85284840 in words is "eighty-five million, two hundred eighty-four thousand, eight hundred forty".