85549568 has 40 divisors (see below), whose sum is σ = 184094988. Its totient is φ = 39481344.

The previous prime is 85549547. The next prime is 85549573. The reversal of 85549568 is 86594558.

It can be written as a sum of positive squares in 2 ways, for example, as 76597504 + 8952064 = 8752^2 + 2992^2 .

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, 230 + ... + 13082.

Almost surely, 2^85549568 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 85549568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92047494).

85549568 is an abundant number, since it is smaller than the sum of its proper divisors (98545420).

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

85549568 is a wasteful number, since it uses less digits than its factorization.

85549568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12884 (or 12868 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 50.

The square root of 85549568 is about 9249.3009465581. The cubic root of 85549568 is about 440.6285232386.

The spelling of 85549568 in words is "eighty-five million, five hundred forty-nine thousand, five hundred sixty-eight".