854665344 has 320 divisors, whose sum is σ = 2908022040. Its totient is φ = 246841344.

The previous prime is 854665297. The next prime is 854665367. The reversal of 854665344 is 443566458.

854665344 is a `hidden beast` number, since 8 + 54 + 66 + 534 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 713530944 + 141134400 = 26712^2 + 11880^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 854665344.

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 39 ways as a sum of consecutive naturals, for example, 2291142 + ... + 2291514.

Almost surely, 2^854665344 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 854665344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454011020).

854665344 is an abundant number, since it is smaller than the sum of its proper divisors (2053356696).

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

854665344 is a wasteful number, since it uses less digits than its factorization.

854665344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 408 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

The square root of 854665344 is about 29234.6599774993. The cubic root of 854665344 is about 948.9981475297.

The spelling of 854665344 in words is "eight hundred fifty-four million, six hundred sixty-five thousand, three hundred forty-four".