853488768 has 256 divisors, whose sum is σ = 2619555840. Its totient is φ = 243855360.

The previous prime is 853488743. The next prime is 853488787. The reversal of 853488768 is 867884358.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6720321 + ... + 6720447.

It is an arithmetic number, because the mean of its divisors is an integer number (10232640).

Almost surely, 2^853488768 is an apocalyptic number.

853488768 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 853488768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309777920).

853488768 is an abundant number, since it is smaller than the sum of its proper divisors (1766067072).

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

853488768 is a wasteful number, since it uses less digits than its factorization.

853488768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 223 counting only the distinct ones).

The product of its digits is 10321920, while the sum is 57.

The square root of 853488768 is about 29214.5300835047. The cubic root of 853488768 is about 948.5624677557.

The spelling of 853488768 in words is "eight hundred fifty-three million, four hundred eighty-eight thousand, seven hundred sixty-eight".