85839264 has 288 divisors, whose sum is σ = 308206080. Its totient is φ = 22954752.

The previous prime is 85839241. The next prime is 85839269. The reversal of 85839264 is 46293858.

85839264 is a `hidden beast` number, since 8 + 583 + 9 + 2 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85839269) 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 47 ways as a sum of consecutive naturals, for example, 1034167 + ... + 1034249.

It is an arithmetic number, because the mean of its divisors is an integer number (1070160).

Almost surely, 2^85839264 is an apocalyptic number.

85839264 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85839264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154103040).

85839264 is an abundant number, since it is smaller than the sum of its proper divisors (222366816).

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

85839264 is a wasteful number, since it uses less digits than its factorization.

85839264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 114 counting only the distinct ones).

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

The square root of 85839264 is about 9264.9481380092. The cubic root of 85839264 is about 441.1253288106.

The spelling of 85839264 in words is "eighty-five million, eight hundred thirty-nine thousand, two hundred sixty-four".