853909056 has 336 divisors, whose sum is σ = 3288475008. Its totient is φ = 204595200.

The previous prime is 853909013. The next prime is 853909057. The reversal of 853909056 is 650909358.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×853909056³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (45) 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 (853909057) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 575836 + ... + 577316.

It is an arithmetic number, because the mean of its divisors is an integer number (9787128).

Almost surely, 2^853909056 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 853909056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1644237504).

853909056 is an abundant number, since it is smaller than the sum of its proper divisors (2434565952).

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

853909056 is a wasteful number, since it uses less digits than its factorization.

853909056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1530 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 853909056 is about 29221.7223311700. The cubic root of 853909056 is about 948.7181440871.

It can be divided in two parts, 853 and 909056, that added together give a palindrome (909909).

The spelling of 853909056 in words is "eight hundred fifty-three million, nine hundred nine thousand, fifty-six".