85548564 has 72 divisors (see below), whose sum is σ = 229218080. Its totient is φ = 26827200.

The previous prime is 85548563. The next prime is 85548587. The reversal of 85548564 is 46584558.

85548564 is a `hidden beast` number, since 85 + 5 + 4 + 8 + 564 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85548563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123459 + ... + 124149.

Almost surely, 2^85548564 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 85548564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114609040).

85548564 is an abundant number, since it is smaller than the sum of its proper divisors (143669516).

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

85548564 is a wasteful number, since it uses less digits than its factorization.

85548564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901 (or 896 counting only the distinct ones).

The product of its digits is 768000, while the sum is 45.

The square root of 85548564 is about 9249.2466720269. The cubic root of 85548564 is about 440.6267995098.

The spelling of 85548564 in words is "eighty-five million, five hundred forty-eight thousand, five hundred sixty-four".