85610096 has 160 divisors (see below), whose sum is σ = 215986176. Its totient is φ = 32256000.

The previous prime is 85610087. The next prime is 85610111. The reversal of 85610096 is 69001658.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1205741 + ... + 1205811.

Almost surely, 2^85610096 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 85610096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107993088).

85610096 is an abundant number, since it is smaller than the sum of its proper divisors (130376080).

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

85610096 is a wasteful number, since it uses less digits than its factorization.

85610096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 85610096 is about 9252.5723990683. The cubic root of 85610096 is about 440.7324165191.

The spelling of 85610096 in words is "eighty-five million, six hundred ten thousand, ninety-six".