85856992 has 48 divisors (see below), whose sum is σ = 183209040. Its totient is φ = 39370752.

The previous prime is 85856957. The next prime is 85857001. The reversal of 85856992 is 29965858.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 73888 + ... + 75040.

It is an arithmetic number, because the mean of its divisors is an integer number (3816855).

Almost surely, 2^85856992 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 85856992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91604520).

85856992 is an abundant number, since it is smaller than the sum of its proper divisors (97352048).

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

85856992 is a wasteful number, since it uses less digits than its factorization.

85856992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355 (or 1347 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 52.

The square root of 85856992 is about 9265.9048128070. The cubic root of 85856992 is about 441.1556946019.

The spelling of 85856992 in words is "eighty-five million, eight hundred fifty-six thousand, nine hundred ninety-two".