853437312 has 288 divisors, whose sum is σ = 3079210680. Its totient is φ = 224888832.

The previous prime is 853437311. The next prime is 853437329. The reversal of 853437312 is 213734358.

853437312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (853437311) 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, 733243 + ... + 734405.

Almost surely, 2^853437312 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 853437312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539605340).

853437312 is an abundant number, since it is smaller than the sum of its proper divisors (2225773368).

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

853437312 is a wasteful number, since it uses less digits than its factorization.

853437312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 1188 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 853437312 is about 29213.6494125606. The cubic root of 853437312 is about 948.5434047393.

The spelling of 853437312 in words is "eight hundred fifty-three million, four hundred thirty-seven thousand, three hundred twelve".