85209488 has 80 divisors (see below), whose sum is σ = 208070016. Its totient is φ = 32901120.

The previous prime is 85209437. The next prime is 85209499. The reversal of 85209488 is 88490258.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61928 + ... + 63288.

Almost surely, 2^85209488 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 85209488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104035008).

85209488 is an abundant number, since it is smaller than the sum of its proper divisors (122860528).

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

85209488 is a wasteful number, since it uses less digits than its factorization.

85209488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 44.

The square root of 85209488 is about 9230.8985478121. The cubic root of 85209488 is about 440.0438799214.

The spelling of 85209488 in words is "eighty-five million, two hundred nine thousand, four hundred eighty-eight".