856041120 has 432 divisors, whose sum is σ = 3411593640. Its totient is φ = 195317760.

The previous prime is 856041073. The next prime is 856041133. The reversal of 856041120 is 21140658.

It can be written as a sum of positive squares in 4 ways, for example, as 718025616 + 138015504 = 26796^2 + 11748^2 .

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 71 ways as a sum of consecutive naturals, for example, 50355352 + ... + 50355368.

Almost surely, 2^856041120 is an apocalyptic number.

856041120 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 856041120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1705796820).

856041120 is an abundant number, since it is smaller than the sum of its proper divisors (2555552520).

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

856041120 is a wasteful number, since it uses less digits than its factorization.

856041120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 856041120 is about 29258.1803945495. The cubic root of 856041120 is about 949.5070831630.

Adding to 856041120 its reverse (21140658), we get a palindrome (877181778).

The spelling of 856041120 in words is "eight hundred fifty-six million, forty-one thousand, one hundred twenty".