854133984 has 240 divisors, whose sum is σ = 2837585520. Its totient is φ = 249661440.

The previous prime is 854133977. The next prime is 854133991. The reversal of 854133984 is 489331458.

It is an interprime number because it is at equal distance from previous prime (854133977) and next prime (854133991).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 826332 + ... + 827364.

It is an arithmetic number, because the mean of its divisors is an integer number (11823273).

Almost surely, 2^854133984 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 854133984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418792760).

854133984 is an abundant number, since it is smaller than the sum of its proper divisors (1983451536).

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

854133984 is a wasteful number, since it uses less digits than its factorization.

854133984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1078 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 854133984 is about 29225.5707215445. The cubic root of 854133984 is about 948.8014373212.

The spelling of 854133984 in words is "eight hundred fifty-four million, one hundred thirty-three thousand, nine hundred eighty-four".