85284360 has 256 divisors, whose sum is σ = 336960000. Its totient is φ = 18772992.

The previous prime is 85284349. The next prime is 85284373. The reversal of 85284360 is 6348258.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 219046 + ... + 219434.

It is an arithmetic number, because the mean of its divisors is an integer number (1316250).

Almost surely, 2^85284360 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 85284360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168480000).

85284360 is an abundant number, since it is smaller than the sum of its proper divisors (251675640).

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

85284360 is a wasteful number, since it uses less digits than its factorization.

85284360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 85284360 is about 9234.9531671796. The cubic root of 85284360 is about 440.1727283274.

The spelling of 85284360 in words is "eighty-five million, two hundred eighty-four thousand, three hundred sixty".