853193376 has 144 divisors (see below), whose sum is σ = 2802106944. Its totient is φ = 241201152.

The previous prime is 853193353. The next prime is 853193431. The reversal of 853193376 is 673391358.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193371 + ... + 197733.

It is an arithmetic number, because the mean of its divisors is an integer number (19459076).

Almost surely, 2^853193376 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 853193376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401053472).

853193376 is an abundant number, since it is smaller than the sum of its proper divisors (1948913568).

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

853193376 is a wasteful number, since it uses less digits than its factorization.

853193376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4483 (or 4472 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 853193376 is about 29209.4740794832. The cubic root of 853193376 is about 948.4530228098.

The spelling of 853193376 in words is "eight hundred fifty-three million, one hundred ninety-three thousand, three hundred seventy-six".