854955840 has 112 divisors (see below), whose sum is σ = 2874215232. Its totient is φ = 214573056.

The previous prime is 854955817. The next prime is 854955841. The reversal of 854955840 is 48559458.

854955840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 854955840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (854955841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9874 + ... + 42513.

It is an arithmetic number, because the mean of its divisors is an integer number (25662636).

Almost surely, 2^854955840 is an apocalyptic number.

854955840 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 854955840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437107616).

854955840 is an abundant number, since it is smaller than the sum of its proper divisors (2019259392).

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

854955840 is a wasteful number, since it uses less digits than its factorization.

854955840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52424 (or 52414 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 48.

The square root of 854955840 is about 29239.6279046092. The cubic root of 854955840 is about 949.1056550821.

The spelling of 854955840 in words is "eight hundred fifty-four million, nine hundred fifty-five thousand, eight hundred forty".