85624544 has 24 divisors (see below), whose sum is σ = 168779520. Its totient is φ = 42759936.

The previous prime is 85624537. The next prime is 85624571. The reversal of 85624544 is 44542658.

It is a junction number, because it is equal to n+sod(n) for n = 85624498 and 85624507.

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, 50657 + ... + 52319.

It is an arithmetic number, because the mean of its divisors is an integer number (7032480).

Almost surely, 2^85624544 is an apocalyptic number.

It is an amenable number.

85624544 is a deficient number, since it is larger than the sum of its proper divisors (83154976).

85624544 is a wasteful number, since it uses less digits than its factorization.

85624544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3282 (or 3274 counting only the distinct ones).

The product of its digits is 153600, while the sum is 38.

The square root of 85624544 is about 9253.3531219769. The cubic root of 85624544 is about 440.7572085474.

It can be divided in two parts, 85624 and 544, that added together give a palindrome (86168).

The spelling of 85624544 in words is "eighty-five million, six hundred twenty-four thousand, five hundred forty-four".