85217280 has 208 divisors, whose sum is σ = 290944320. Its totient is φ = 21233664.

The previous prime is 85217263. The next prime is 85217281. The reversal of 85217280 is 8271258.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85217281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1167324 + ... + 1167396.

Almost surely, 2^85217280 is an apocalyptic number.

85217280 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85217280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145472160).

85217280 is an abundant number, since it is smaller than the sum of its proper divisors (205727040).

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

85217280 is a wasteful number, since it uses less digits than its factorization.

85217280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 85217280 is about 9231.3205989176. The cubic root of 85217280 is about 440.0572928150.

The spelling of 85217280 in words is "eighty-five million, two hundred seventeen thousand, two hundred eighty".