85018176 has 84 divisors (see below), whose sum is σ = 247438672. Its totient is φ = 27903744.

The previous prime is 85018127. The next prime is 85018177. The reversal of 85018176 is 67181058.

85018176 is a `hidden beast` number, since 8 + 501 + 81 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 85018176.

It is not an unprimeable number, because it can be changed into a prime (85018177) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37491 + ... + 39693.

Almost surely, 2^85018176 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 85018176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123719336).

85018176 is an abundant number, since it is smaller than the sum of its proper divisors (162420496).

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

85018176 is a wasteful number, since it uses less digits than its factorization.

85018176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2288 (or 2275 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 85018176 is about 9220.5301366028. The cubic root of 85018176 is about 439.7143048944.

The spelling of 85018176 in words is "eighty-five million, eighteen thousand, one hundred seventy-six".