85317520 has 40 divisors (see below), whose sum is σ = 200237184. Its totient is φ = 33804672.

The previous prime is 85317517. The next prime is 85317521. The reversal of 85317520 is 2571358.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (85317521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3577 + ... + 13543.

Almost surely, 2^85317520 is an apocalyptic number.

85317520 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 85317520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100118592).

85317520 is an abundant number, since it is smaller than the sum of its proper divisors (114919664).

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

85317520 is a wasteful number, since it uses less digits than its factorization.

85317520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10087 (or 10081 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

The square root of 85317520 is about 9236.7483456030. The cubic root of 85317520 is about 440.2297697995.

Adding to 85317520 its reverse (2571358), we get a palindrome (87888878).

The spelling of 85317520 in words is "eighty-five million, three hundred seventeen thousand, five hundred twenty".