85417308 has 96 divisors (see below), whose sum is σ = 233694720. Its totient is φ = 26928000.

The previous prime is 85417261. The next prime is 85417313. The reversal of 85417308 is 80371458.

It is a super-2 number, since 2×85417308² = 14592233011933728, which contains 22 as substring.

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

It is a congruent number.

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, 340183 + ... + 340433.

It is an arithmetic number, because the mean of its divisors is an integer number (2434320).

Almost surely, 2^85417308 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 85417308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116847360).

85417308 is an abundant number, since it is smaller than the sum of its proper divisors (148277412).

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

85417308 is a wasteful number, since it uses less digits than its factorization.

85417308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 85417308 is about 9242.1484515236. The cubic root of 85417308 is about 440.4013349231.

The spelling of 85417308 in words is "eighty-five million, four hundred seventeen thousand, three hundred eight".