853164672 has 64 divisors (see below), whose sum is σ = 2272527360. Its totient is φ = 283596800.

The previous prime is 853164661. The next prime is 853164707. The reversal of 853164672 is 276461358.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 144172 + ... + 149972.

It is an arithmetic number, because the mean of its divisors is an integer number (35508240).

Almost surely, 2^853164672 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 853164672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136263680).

853164672 is an abundant number, since it is smaller than the sum of its proper divisors (1419362688).

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

853164672 is a wasteful number, since it uses less digits than its factorization.

853164672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6201 (or 6189 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 853164672 is about 29208.9827279212. The cubic root of 853164672 is about 948.4423864165.

The spelling of 853164672 in words is "eight hundred fifty-three million, one hundred sixty-four thousand, six hundred seventy-two".