85743824 has 20 divisors (see below), whose sum is σ = 169264836. Its totient is φ = 42062592.

The previous prime is 85743803. The next prime is 85743841. The reversal of 85743824 is 42834758.

It can be written as a sum of positive squares in 2 ways, for example, as 24403600 + 61340224 = 4940^2 + 7832^2 .

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 3 ways as a sum of consecutive naturals, for example, 49709 + ... + 51404.

Almost surely, 2^85743824 is an apocalyptic number.

It is an amenable number.

85743824 is a deficient number, since it is larger than the sum of its proper divisors (83521012).

85743824 is a wasteful number, since it uses less digits than its factorization.

85743824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101174 (or 101168 counting only the distinct ones).

The product of its digits is 215040, while the sum is 41.

The square root of 85743824 is about 9259.7961100664. The cubic root of 85743824 is about 440.9617804439.

The spelling of 85743824 in words is "eighty-five million, seven hundred forty-three thousand, eight hundred twenty-four".