85360068 has 84 divisors (see below), whose sum is σ = 227601948. Its totient is φ = 27993600.

The previous prime is 85360063. The next prime is 85360091. The reversal of 85360068 is 86006358.

It can be written as a sum of positive squares in 2 ways, for example, as 71876484 + 13483584 = 8478^2 + 3672^2 .

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

It is not an unprimeable number, because it can be changed into a prime (85360063) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 212668 + ... + 213068.

It is an arithmetic number, because the mean of its divisors is an integer number (2709547).

Almost surely, 2^85360068 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 85360068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113800974).

85360068 is an abundant number, since it is smaller than the sum of its proper divisors (142241880).

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

85360068 is a wasteful number, since it uses less digits than its factorization.

85360068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 85360068 is about 9239.0512499932. The cubic root of 85360068 is about 440.3029387626.

The spelling of 85360068 in words is "eighty-five million, three hundred sixty thousand, sixty-eight".