853350966 has 72 divisors (see below), whose sum is σ = 2015545896. Its totient is φ = 260807040.

The previous prime is 853350961. The next prime is 853350977. The reversal of 853350966 is 669053358.

Added to its reverse (669053358) it gives a square (1522404324 = 39018²).

853350966 is a `hidden beast` number, since 8 + 533 + 50 + 9 + 66 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (853350961) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 494986 + ... + 496706.

It is an arithmetic number, because the mean of its divisors is an integer number (27993693).

Almost surely, 2^853350966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 853350966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1007772948).

853350966 is an abundant number, since it is smaller than the sum of its proper divisors (1162194930).

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

853350966 is a wasteful number, since it uses less digits than its factorization.

853350966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 853350966 is about 29212.1715385899. The cubic root of 853350966 is about 948.5114142267.

Adding to 853350966 its reverse (669053358), we get a square (1522404324 = 39018²).

The spelling of 853350966 in words is "eight hundred fifty-three million, three hundred fifty thousand, nine hundred sixty-six".