85529808 has 240 divisors, whose sum is σ = 302230656. Its totient is φ = 21980160.

The previous prime is 85529803. The next prime is 85529809. The reversal of 85529808 is 80892558.

85529808 is a `hidden beast` number, since 8 + 552 + 98 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85529803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 799291 + ... + 799397.

Almost surely, 2^85529808 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 85529808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151115328).

85529808 is an abundant number, since it is smaller than the sum of its proper divisors (216700848).

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

85529808 is a wasteful number, since it uses less digits than its factorization.

85529808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The square root of 85529808 is about 9248.2326960344. The cubic root of 85529808 is about 440.5945955782.

The spelling of 85529808 in words is "eighty-five million, five hundred twenty-nine thousand, eight hundred eight".