85351266 has 128 divisors (see below), whose sum is σ = 254822400. Its totient is φ = 20450880.

The previous prime is 85351247. The next prime is 85351283. The reversal of 85351266 is 66215358.

85351266 is a `hidden beast` number, since 85 + 3 + 512 + 66 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 85351266.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53265 + ... + 54843.

It is an arithmetic number, because the mean of its divisors is an integer number (1990800).

Almost surely, 2^85351266 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85351266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127411200).

85351266 is an abundant number, since it is smaller than the sum of its proper divisors (169471134).

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

85351266 is a wasteful number, since it uses less digits than its factorization.

85351266 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1621 (or 1615 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 85351266 is about 9238.5748901007. The cubic root of 85351266 is about 440.2878041304.

It can be divided in two parts, 8535 and 1266, that added together give a square (9801 = 99²).

The spelling of 85351266 in words is "eighty-five million, three hundred fifty-one thousand, two hundred sixty-six".