85991776 has 48 divisors (see below), whose sum is σ = 183124368. Its totient is φ = 39513600.

The previous prime is 85991771. The next prime is 85991803. The reversal of 85991776 is 67719958.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85991771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 174891 + ... + 175381.

It is an arithmetic number, because the mean of its divisors is an integer number (3815091).

Almost surely, 2^85991776 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 85991776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91562184).

85991776 is an abundant number, since it is smaller than the sum of its proper divisors (97132592).

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

85991776 is a wasteful number, since it uses less digits than its factorization.

85991776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 927 counting only the distinct ones).

The product of its digits is 952560, while the sum is 52.

The square root of 85991776 is about 9273.1750765312. The cubic root of 85991776 is about 441.3864257272.

The spelling of 85991776 in words is "eighty-five million, nine hundred ninety-one thousand, seven hundred seventy-six".