85868016 has 160 divisors (see below), whose sum is σ = 258650112. Its totient is φ = 24330240.

The previous prime is 85867997. The next prime is 85868017. The reversal of 85868016 is 61086858.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85868017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 444816 + ... + 445008.

Almost surely, 2^85868016 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 85868016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129325056).

85868016 is an abundant number, since it is smaller than the sum of its proper divisors (172782096).

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

85868016 is a wasteful number, since it uses less digits than its factorization.

85868016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The square root of 85868016 is about 9266.4996627637. The cubic root of 85868016 is about 441.1745751929.

The spelling of 85868016 in words is "eighty-five million, eight hundred sixty-eight thousand, sixteen".