85320576 has 96 divisors (see below), whose sum is σ = 267878520. Its totient is φ = 25850880.

The previous prime is 85320559. The next prime is 85320577. The reversal of 85320576 is 67502358.

85320576 is a `hidden beast` number, since 85 + 3 + 2 + 0 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 85320576.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85320577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9306 + ... + 16038.

Almost surely, 2^85320576 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 85320576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133939260).

85320576 is an abundant number, since it is smaller than the sum of its proper divisors (182557944).

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

85320576 is a wasteful number, since it uses less digits than its factorization.

85320576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6764 (or 6749 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 85320576 is about 9236.9137703023. The cubic root of 85320576 is about 440.2350259537.

The spelling of 85320576 in words is "eighty-five million, three hundred twenty thousand, five hundred seventy-six".