85110000 has 100 divisors (see below), whose sum is σ = 274843272. Its totient is φ = 22688000.

The previous prime is 85109993. The next prime is 85110013. The reversal of 85110000 is 1158.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28582 + ... + 31418.

Almost surely, 2^85110000 is an apocalyptic number.

85110000 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 85110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137421636).

85110000 is an abundant number, since it is smaller than the sum of its proper divisors (189733272).

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

85110000 is a wasteful number, since it uses less digits than its factorization.

85110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2868 (or 2847 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 85110000 is about 9225.5081160877. The cubic root of 85110000 is about 439.8725526197.

Adding to 85110000 its reverse (1158), we get a palindrome (85111158).

The spelling of 85110000 in words is "eighty-five million, one hundred ten thousand".