85317120 has 360 divisors, whose sum is σ = 353008656. Its totient is φ = 18653184.

The previous prime is 85317119. The next prime is 85317137. The reversal of 85317120 is 2171358.

85317120 is a `hidden beast` number, since 8 + 531 + 7 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3709429 + ... + 3709451.

Almost surely, 2^85317120 is an apocalyptic number.

85317120 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 85317120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176504328).

85317120 is an abundant number, since it is smaller than the sum of its proper divisors (267691536).

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

85317120 is a wasteful number, since it uses less digits than its factorization.

85317120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 85317120 is about 9236.7266929362. The cubic root of 85317120 is about 440.2290818120.

Adding to 85317120 its reverse (2171358), we get a palindrome (87488478).

It can be divided in two parts, 8531 and 7120, that added together give a palindrome (15651).

The spelling of 85317120 in words is "eighty-five million, three hundred seventeen thousand, one hundred twenty".