85417110 has 48 divisors (see below), whose sum is σ = 223292160. Its totient is φ = 22654080.

The previous prime is 85417099. The next prime is 85417139. The reversal of 85417110 is 1171458.

85417110 is a `hidden beast` number, since 8 + 541 + 7 + 110 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14706 + ... + 19674.

It is an arithmetic number, because the mean of its divisors is an integer number (4651920).

Almost surely, 2^85417110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85417110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111646080).

85417110 is an abundant number, since it is smaller than the sum of its proper divisors (137875050).

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

85417110 is a wasteful number, since it uses less digits than its factorization.

85417110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5173 (or 5170 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 85417110 is about 9242.1377397223. The cubic root of 85417110 is about 440.4009946348.

Adding to 85417110 its reverse (1171458), we get a palindrome (86588568).

It can be divided in two parts, 8541 and 7110, that added together give a palindrome (15651).

The spelling of 85417110 in words is "eighty-five million, four hundred seventeen thousand, one hundred ten".