85921792 has 52 divisors (see below), whose sum is σ = 187541136. Its totient is φ = 39034880.

The previous prime is 85921763. The next prime is 85921793. The reversal of 85921792 is 29712958.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (85921793) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 44103 + ... + 46009.

Almost surely, 2^85921792 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 85921792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93770568).

85921792 is an abundant number, since it is smaller than the sum of its proper divisors (101619344).

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

85921792 is a wasteful number, since it uses less digits than its factorization.

85921792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1942 (or 1920 counting only the distinct ones).

The product of its digits is 90720, while the sum is 43.

The square root of 85921792 is about 9269.4008436360. The cubic root of 85921792 is about 441.2666531445.

The spelling of 85921792 in words is "eighty-five million, nine hundred twenty-one thousand, seven hundred ninety-two".