85932084 has 72 divisors (see below), whose sum is σ = 237293280. Its totient is φ = 24126144.

The previous prime is 85932083. The next prime is 85932089. The reversal of 85932084 is 48023958.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85932083) by changing a digit.

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, 33454 + ... + 35930.

It is an arithmetic number, because the mean of its divisors is an integer number (3295740).

Almost surely, 2^85932084 is an apocalyptic number.

85932084 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85932084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118646640).

85932084 is an abundant number, since it is smaller than the sum of its proper divisors (151361196).

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

85932084 is a wasteful number, since it uses less digits than its factorization.

85932084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2557 (or 2548 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 85932084 is about 9269.9559869505. The cubic root of 85932084 is about 441.2842712402.

The spelling of 85932084 in words is "eighty-five million, nine hundred thirty-two thousand, eighty-four".