85463766 has 24 divisors (see below), whose sum is σ = 189113184. Its totient is φ = 27881520.

The previous prime is 85463737. The next prime is 85463773. The reversal of 85463766 is 66736458.

85463766 is a `hidden beast` number, since 8 + 5 + 4 + 637 + 6 + 6 = 666.

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 11 ways as a sum of consecutive naturals, for example, 49665 + ... + 51356.

It is an arithmetic number, because the mean of its divisors is an integer number (7879716).

Almost surely, 2^85463766 is an apocalyptic number.

85463766 is an abundant number, since it is smaller than the sum of its proper divisors (103649418).

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

85463766 is a wasteful number, since it uses less digits than its factorization.

85463766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101076 (or 101073 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 85463766 is about 9244.6614865013. The cubic root of 85463766 is about 440.4811643996.

It can be divided in two parts, 854 and 63766, that added together give a triangular number (64620 = T₃₅₉).

The spelling of 85463766 in words is "eighty-five million, four hundred sixty-three thousand, seven hundred sixty-six".