85905792 has 256 divisors, whose sum is σ = 299635200. Its totient is φ = 23721984.

The previous prime is 85905779. The next prime is 85905793. The reversal of 85905792 is 29750958.

It is a happy number.

85905792 is a `hidden beast` number, since 8 + 590 + 57 + 9 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85905793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1282143 + ... + 1282209.

It is an arithmetic number, because the mean of its divisors is an integer number (1170450).

Almost surely, 2^85905792 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 85905792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149817600).

85905792 is an abundant number, since it is smaller than the sum of its proper divisors (213729408).

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

85905792 is a wasteful number, since it uses less digits than its factorization.

85905792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 85905792 is about 9268.5377487498. The cubic root of 85905792 is about 441.2392611617.

The spelling of 85905792 in words is "eighty-five million, nine hundred five thousand, seven hundred ninety-two".