85559976 has 120 divisors (see below), whose sum is σ = 249776670. Its totient is φ = 27361152.

The previous prime is 85559959. The next prime is 85559987. The reversal of 85559976 is 67995558.

It is a happy number.

85559976 is a `hidden beast` number, since 85 + 559 + 9 + 7 + 6 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 67667076 + 17892900 = 8226^2 + 4230^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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 29 ways as a sum of consecutive naturals, for example, 544890 + ... + 545046.

Almost surely, 2^85559976 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 85559976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124888335).

85559976 is an abundant number, since it is smaller than the sum of its proper divisors (164216694).

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

85559976 is a wasteful number, since it uses less digits than its factorization.

85559976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 191 counting only the distinct ones).

The product of its digits is 3402000, while the sum is 54.

The square root of 85559976 is about 9249.8635665614. The cubic root of 85559976 is about 440.6463915373.

The spelling of 85559976 in words is "eighty-five million, five hundred fifty-nine thousand, nine hundred seventy-six".