855144864 has 180 divisors, whose sum is σ = 2925997074. Its totient is φ = 244290816.

The previous prime is 855144859. The next prime is 855144869. The reversal of 855144864 is 468441558.

It is a happy number.

855144864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (855144859) and next prime (855144869).

It can be written as a sum of positive squares in only one way, i.e., 458816400 + 396328464 = 21420^2 + 19908^2 .

It is not an unprimeable number, because it can be changed into a prime (855144869) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 123642 + ... + 130374.

Almost surely, 2^855144864 is an apocalyptic number.

855144864 is a gapful number since it is divisible by the number (84) 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 855144864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462998537).

855144864 is an abundant number, since it is smaller than the sum of its proper divisors (2070852210).

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

855144864 is a wasteful number, since it uses less digits than its factorization.

855144864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6769 (or 6745 counting only the distinct ones).

The product of its digits is 614400, while the sum is 45.

The square root of 855144864 is about 29242.8600516434. The cubic root of 855144864 is about 949.1755965219.

The spelling of 855144864 in words is "eight hundred fifty-five million, one hundred forty-four thousand, eight hundred sixty-four".