85338792 has 192 divisors, whose sum is σ = 301233600. Its totient is φ = 22135680.

The previous prime is 85338779. The next prime is 85338821. The reversal of 85338792 is 29783358.

Its product of digits (362880) is a multiple of the sum of its prime divisors (756).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 116058 + ... + 116790.

It is an arithmetic number, because the mean of its divisors is an integer number (1568925).

Almost surely, 2^85338792 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 85338792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150616800).

85338792 is an abundant number, since it is smaller than the sum of its proper divisors (215894808).

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

85338792 is a wasteful number, since it uses less digits than its factorization.

85338792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 756 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 85338792 is about 9237.8997613094. The cubic root of 85338792 is about 440.2663538817.

The spelling of 85338792 in words is "eighty-five million, three hundred thirty-eight thousand, seven hundred ninety-two".