85018920 has 192 divisors, whose sum is σ = 312724800. Its totient is φ = 18385920.

The previous prime is 85018919. The next prime is 85018949. The reversal of 85018920 is 2981058.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111340 + ... + 112100.

It is an arithmetic number, because the mean of its divisors is an integer number (1628775).

Almost surely, 2^85018920 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 85018920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156362400).

85018920 is an abundant number, since it is smaller than the sum of its proper divisors (227705880).

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

85018920 is a wasteful number, since it uses less digits than its factorization.

85018920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 85018920 is about 9220.5704812663. The cubic root of 85018920 is about 439.7155875476.

Adding to 85018920 its reverse (2981058), we get a palindrome (87999978).

The spelling of 85018920 in words is "eighty-five million, eighteen thousand, nine hundred twenty".