853309968 has 320 divisors, whose sum is σ = 2834104320. Its totient is φ = 215654400.

The previous prime is 853309967. The next prime is 853309973. The reversal of 853309968 is 869903358.

It is a super-2 number, since 2×853309968² = 1456275802976322048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 853309968.

It is not an unprimeable number, because it can be changed into a prime (853309967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10801353 + ... + 10801431.

It is an arithmetic number, because the mean of its divisors is an integer number (8856576).

Almost surely, 2^853309968 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 853309968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1417052160).

853309968 is an abundant number, since it is smaller than the sum of its proper divisors (1980794352).

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

853309968 is a wasteful number, since it uses less digits than its factorization.

853309968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 51.

The square root of 853309968 is about 29211.4698021171. The cubic root of 853309968 is about 948.4962240352.

The spelling of 853309968 in words is "eight hundred fifty-three million, three hundred nine thousand, nine hundred sixty-eight".