85110960 has 160 divisors (see below), whose sum is σ = 291552768. Its totient is φ = 20367360.

The previous prime is 85110931. The next prime is 85110997. The reversal of 85110960 is 6901158.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 271764 + ... + 272076.

Almost surely, 2^85110960 is an apocalyptic number.

85110960 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 85110960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145776384).

85110960 is an abundant number, since it is smaller than the sum of its proper divisors (206441808).

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

85110960 is a wasteful number, since it uses less digits than its factorization.

85110960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 85110960 is about 9225.5601455955. The cubic root of 85110960 is about 439.8742064640.

It can be divided in two parts, 851 and 10960, that added together give a palindrome (11811).

The spelling of 85110960 in words is "eighty-five million, one hundred ten thousand, nine hundred sixty".