85966776 has 144 divisors (see below), whose sum is σ = 276198000. Its totient is φ = 24145632.

The previous prime is 85966753. The next prime is 85966843. The reversal of 85966776 is 67766958.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1457035 + ... + 1457093.

Almost surely, 2^85966776 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 85966776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138099000).

85966776 is an abundant number, since it is smaller than the sum of its proper divisors (190231224).

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

85966776 is a wasteful number, since it uses less digits than its factorization.

85966776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 71 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The square root of 85966776 is about 9271.8270044258. The cubic root of 85966776 is about 441.3436474884.

The spelling of 85966776 in words is "eighty-five million, nine hundred sixty-six thousand, seven hundred seventy-six".