85986624 has 56 divisors (see below), whose sum is σ = 235366560. Its totient is φ = 27672064.

The previous prime is 85986611. The next prime is 85986679. The reversal of 85986624 is 42668958.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2154 + ... + 13289.

Almost surely, 2^85986624 is an apocalyptic number.

It is an amenable number.

85986624 is an abundant number, since it is smaller than the sum of its proper divisors (149379936).

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

85986624 is a wasteful number, since it uses less digits than its factorization.

85986624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15487 (or 15477 counting only the distinct ones).

The product of its digits is 829440, while the sum is 48.

The square root of 85986624 is about 9272.8972818640. The cubic root of 85986624 is about 441.3776106660.

The spelling of 85986624 in words is "eighty-five million, nine hundred eighty-six thousand, six hundred twenty-four".