85389264 has 60 divisors (see below), whose sum is σ = 242913892. Its totient is φ = 27993600.

The previous prime is 85389263. The next prime is 85389281. The reversal of 85389264 is 46298358.

85389264 is a `hidden beast` number, since 8 + 5 + 389 + 264 = 666.

85389264 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in 2 ways, for example, as 2433600 + 82955664 = 1560^2 + 9108^2 .

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85389263) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3924 + ... + 13644.

Almost surely, 2^85389264 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 85389264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121456946).

85389264 is an abundant number, since it is smaller than the sum of its proper divisors (157524628).

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

85389264 is a wasteful number, since it uses less digits than its factorization.

85389264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9796 (or 9787 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 85389264 is about 9240.6311472756. The cubic root of 85389264 is about 440.3531324872.

The spelling of 85389264 in words is "eighty-five million, three hundred eighty-nine thousand, two hundred sixty-four".