854766 has 32 divisors (see below), whose sum is σ = 2073600. Its totient is φ = 258840.

The previous prime is 854747. The next prime is 854771. The reversal of 854766 is 667458.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 854766.

It is a congruent number.

It is an unprimeable number.

854766 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 15 ways as a sum of consecutive naturals, for example, 126 + ... + 1313.

It is an arithmetic number, because the mean of its divisors is an integer number (64800).

2⁸⁵⁴⁷⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 854766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036800).

854766 is an abundant number, since it is smaller than the sum of its proper divisors (1218834).

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

854766 is a wasteful number, since it uses less digits than its factorization.

854766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461 (or 1455 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 854766 is about 924.5355590782. The cubic root of 854766 is about 94.9035401335.

It can be divided in two parts, 85 and 4766, that added together give a triangular number (4851 = T₉₈).

The spelling of 854766 in words is "eight hundred fifty-four thousand, seven hundred sixty-six".