853161984 has 240 divisors, whose sum is σ = 2636033400. Its totient is φ = 274710528.

The previous prime is 853161979. The next prime is 853162003. The reversal of 853161984 is 489161358.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6137787 + ... + 6137925.

Almost surely, 2^853161984 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 853161984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318016700).

853161984 is an abundant number, since it is smaller than the sum of its proper divisors (1782871416).

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

853161984 is a wasteful number, since it uses less digits than its factorization.

853161984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 181 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 853161984 is about 29208.9367146427. The cubic root of 853161984 is about 948.4413903541.

The spelling of 853161984 in words is "eight hundred fifty-three million, one hundred sixty-one thousand, nine hundred eighty-four".