85544576 has 64 divisors (see below), whose sum is σ = 185711400. Its totient is φ = 39014400.

The previous prime is 85544551. The next prime is 85544579. The reversal of 85544576 is 67544558.

It can be written as a sum of positive squares in 4 ways, for example, as 84198976 + 1345600 = 9176^2 + 1160^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (85544579) 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, 167810 + ... + 168318.

Almost surely, 2^85544576 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 85544576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92855700).

85544576 is an abundant number, since it is smaller than the sum of its proper divisors (100166824).

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

85544576 is a wasteful number, since it uses less digits than its factorization.

85544576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 625 counting only the distinct ones).

The product of its digits is 672000, while the sum is 44.

The square root of 85544576 is about 9249.0310843893. The cubic root of 85544576 is about 440.6199525334.

The spelling of 85544576 in words is "eighty-five million, five hundred forty-four thousand, five hundred seventy-six".