85693824 has 96 divisors (see below), whose sum is σ = 250216200. Its totient is φ = 28145664.

The previous prime is 85693801. The next prime is 85693841. The reversal of 85693824 is 42839658.

85693824 is a `hidden beast` number, since 8 + 569 + 3 + 82 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 85693824.

It is a congruent number.

It is an unprimeable number.

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, 83587 + ... + 84605.

Almost surely, 2^85693824 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 85693824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125108100).

85693824 is an abundant number, since it is smaller than the sum of its proper divisors (164522376).

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

85693824 is a wasteful number, since it uses less digits than its factorization.

85693824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 1097 counting only the distinct ones).

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

The square root of 85693824 is about 9257.0958728966. The cubic root of 85693824 is about 440.8760507472.

The spelling of 85693824 in words is "eighty-five million, six hundred ninety-three thousand, eight hundred twenty-four".