854800640 has 72 divisors (see below), whose sum is σ = 2102969400. Its totient is φ = 332660736.

The previous prime is 854800631. The next prime is 854800663. The reversal of 854800640 is 46008458.

It can be written as a sum of positive squares in 4 ways, for example, as 401281024 + 453519616 = 20032^2 + 21296^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 854800640.

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 7 ways as a sum of consecutive naturals, for example, 38336 + ... + 56384.

Almost surely, 2^854800640 is an apocalyptic number.

854800640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 854800640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051484700).

854800640 is an abundant number, since it is smaller than the sum of its proper divisors (1248168760).

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

854800640 is a wasteful number, since it uses less digits than its factorization.

854800640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18107 (or 18093 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 35.

The square root of 854800640 is about 29236.9738516147. The cubic root of 854800640 is about 949.0482212729.

The spelling of 854800640 in words is "eight hundred fifty-four million, eight hundred thousand, six hundred forty".