85689984 has 32 divisors (see below), whose sum is σ = 227615040. Its totient is φ = 28563200.

The previous prime is 85689953. The next prime is 85689991. The reversal of 85689984 is 48998658.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 111192 + ... + 111959.

It is an arithmetic number, because the mean of its divisors is an integer number (7112970).

Almost surely, 2^85689984 is an apocalyptic number.

It is an amenable number.

85689984 is an abundant number, since it is smaller than the sum of its proper divisors (141925056).

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

85689984 is a wasteful number, since it uses less digits than its factorization.

85689984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223168 (or 223156 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 57.

The square root of 85689984 is about 9256.8884621130. Note that the first 3 decimals coincide. The cubic root of 85689984 is about 440.8694653278.

The spelling of 85689984 in words is "eighty-five million, six hundred eighty-nine thousand, nine hundred eighty-four".