854949312 has 168 divisors, whose sum is σ = 2965618656. Its totient is φ = 229883904.

The previous prime is 854949311. The next prime is 854949323. The reversal of 854949312 is 213949458.

854949312 is a `hidden beast` number, since 8 + 549 + 4 + 93 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (854949311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62308 + ... + 74780.

It is an arithmetic number, because the mean of its divisors is an integer number (17652492).

Almost surely, 2^854949312 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 854949312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482809328).

854949312 is an abundant number, since it is smaller than the sum of its proper divisors (2110669344).

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

854949312 is a wasteful number, since it uses less digits than its factorization.

854949312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12515 (or 12502 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 854949312 is about 29239.5162750686. The cubic root of 854949312 is about 949.1032394495.

The spelling of 854949312 in words is "eight hundred fifty-four million, nine hundred forty-nine thousand, three hundred twelve".