85930884 has 72 divisors (see below), whose sum is σ = 241509632. Its totient is φ = 25583040.

The previous prime is 85930877. The next prime is 85930931. The reversal of 85930884 is 48803958.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11547 + ... + 17469.

Almost surely, 2^85930884 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 85930884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120754816).

85930884 is an abundant number, since it is smaller than the sum of its proper divisors (155578748).

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

85930884 is a wasteful number, since it uses less digits than its factorization.

85930884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5977 (or 5972 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 85930884 is about 9269.8912614982. The cubic root of 85930884 is about 441.2822171235.

The spelling of 85930884 in words is "eighty-five million, nine hundred thirty thousand, eight hundred eighty-four".