85549608 has 56 divisors (see below), whose sum is σ = 240514650. Its totient is φ = 28514592.

The previous prime is 85549601. The next prime is 85549619. The reversal of 85549608 is 80694558.

85549608 is a `hidden beast` number, since 8 + 554 + 96 + 0 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 68260644 + 17288964 = 8262^2 + 4158^2 .

It is not an unprimeable number, because it can be changed into a prime (85549601) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1503 + ... + 13166.

Almost surely, 2^85549608 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 85549608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120257325).

85549608 is an abundant number, since it is smaller than the sum of its proper divisors (154965042).

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

85549608 is a wasteful number, since it uses less digits than its factorization.

85549608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14693 (or 14674 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 85549608 is about 9249.3031088834. The cubic root of 85549608 is about 440.6285919128.

The spelling of 85549608 in words is "eighty-five million, five hundred forty-nine thousand, six hundred eight".