853600896 has 128 divisors (see below), whose sum is σ = 2529926400. Its totient is φ = 283336704.

The previous prime is 853600879. The next prime is 853600919. The reversal of 853600896 is 698006358.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1268016 + ... + 1268688.

It is an arithmetic number, because the mean of its divisors is an integer number (19765050).

Almost surely, 2^853600896 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 853600896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264963200).

853600896 is an abundant number, since it is smaller than the sum of its proper divisors (1676325504).

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

853600896 is a wasteful number, since it uses less digits than its factorization.

853600896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 853600896 is about 29216.4490655521. The cubic root of 853600896 is about 948.6040054064.

The spelling of 853600896 in words is "eight hundred fifty-three million, six hundred thousand, eight hundred ninety-six".