853287072 has 96 divisors (see below), whose sum is σ = 2477200320. Its totient is φ = 255006720.

The previous prime is 853287067. The next prime is 853287073. The reversal of 853287072 is 270782358.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (853287073) by changing a digit.

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, 71554 + ... + 82622.

It is an arithmetic number, because the mean of its divisors is an integer number (25804170).

Almost surely, 2^853287072 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 853287072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238600160).

853287072 is an abundant number, since it is smaller than the sum of its proper divisors (1623913248).

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

853287072 is a wasteful number, since it uses less digits than its factorization.

853287072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11166 (or 11158 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 853287072 is about 29211.0778986329. The cubic root of 853287072 is about 948.4877406140.

The spelling of 853287072 in words is "eight hundred fifty-three million, two hundred eighty-seven thousand, seventy-two".