85830576 has 80 divisors (see below), whose sum is σ = 240151296. Its totient is φ = 26258688.

The previous prime is 85830557. The next prime is 85830583. The reversal of 85830576 is 67503858.

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, 163851 + ... + 164373.

Almost surely, 2^85830576 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 85830576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120075648).

85830576 is an abundant number, since it is smaller than the sum of its proper divisors (154320720).

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

85830576 is a wasteful number, since it uses less digits than its factorization.

85830576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 85830576 is about 9264.4792622144. The cubic root of 85830576 is about 441.1104458539.

The spelling of 85830576 in words is "eighty-five million, eight hundred thirty thousand, five hundred seventy-six".