85363668 has 72 divisors (see below), whose sum is σ = 233906400. Its totient is φ = 26093376.

The previous prime is 85363667. The next prime is 85363673. The reversal of 85363668 is 86636358.

85363668 is a `hidden beast` number, since 8 + 5 + 3 + 636 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85363667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83263 + ... + 84281.

It is an arithmetic number, because the mean of its divisors is an integer number (3248700).

Almost surely, 2^85363668 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 85363668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116953200).

85363668 is an abundant number, since it is smaller than the sum of its proper divisors (148542732).

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

85363668 is a wasteful number, since it uses less digits than its factorization.

85363668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1216 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 85363668 is about 9239.2460731382. The cubic root of 85363668 is about 440.3091284964.

The spelling of 85363668 in words is "eighty-five million, three hundred sixty-three thousand, six hundred sixty-eight".