85984576 has 56 divisors (see below), whose sum is σ = 185480960. Its totient is φ = 39398400.

The previous prime is 85984553. The next prime is 85984579. The reversal of 85984576 is 67548958.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85984579) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36556 + ... + 38836.

It is an arithmetic number, because the mean of its divisors is an integer number (3312160).

Almost surely, 2^85984576 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 85984576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92740480).

85984576 is an abundant number, since it is smaller than the sum of its proper divisors (99496384).

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

85984576 is a wasteful number, since it uses less digits than its factorization.

85984576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2343 (or 2333 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 52.

The square root of 85984576 is about 9272.7868518585. The cubic root of 85984576 is about 441.3741064446.

The spelling of 85984576 in words is "eighty-five million, nine hundred eighty-four thousand, five hundred seventy-six".