85110120 has 192 divisors, whose sum is σ = 304387200. Its totient is φ = 20528640.

The previous prime is 85110089. The next prime is 85110121. The reversal of 85110120 is 2101158.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 85110093 and 85110102.

It is not an unprimeable number, because it can be changed into a prime (85110121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157050 + ... + 157590.

It is an arithmetic number, because the mean of its divisors is an integer number (1585350).

Almost surely, 2^85110120 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 85110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152193600).

85110120 is an abundant number, since it is smaller than the sum of its proper divisors (219277080).

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

85110120 is a wasteful number, since it uses less digits than its factorization.

85110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 85110120 is about 9225.5146197922. The cubic root of 85110120 is about 439.8727593509.

Adding to 85110120 its reverse (2101158), we get a palindrome (87211278).

The spelling of 85110120 in words is "eighty-five million, one hundred ten thousand, one hundred twenty".