85067864 has 64 divisors (see below), whose sum is σ = 203212800. Its totient is φ = 32500224.

The previous prime is 85067839. The next prime is 85067867. The reversal of 85067864 is 46876058.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85067867) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15737 + ... + 20439.

It is an arithmetic number, because the mean of its divisors is an integer number (3175200).

Almost surely, 2^85067864 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 85067864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101606400).

85067864 is an abundant number, since it is smaller than the sum of its proper divisors (118144936).

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

85067864 is a wasteful number, since it uses less digits than its factorization.

85067864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4752 (or 4748 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 44.

The square root of 85067864 is about 9223.2241651171. The cubic root of 85067864 is about 439.7999503819.

The spelling of 85067864 in words is "eighty-five million, sixty-seven thousand, eight hundred sixty-four".