856053360 has 400 divisors, whose sum is σ = 3321885600. Its totient is φ = 203046912.

The previous prime is 856053329. The next prime is 856053371. The reversal of 856053360 is 63350658.

856053360 is a `hidden beast` number, since 8 + 5 + 60 + 533 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 2092836 + ... + 2093244.

It is an arithmetic number, because the mean of its divisors is an integer number (8304714).

Almost surely, 2^856053360 is an apocalyptic number.

856053360 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 856053360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660942800).

856053360 is an abundant number, since it is smaller than the sum of its proper divisors (2465832240).

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

856053360 is a wasteful number, since it uses less digits than its factorization.

856053360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 856053360 is about 29258.3895660715. The cubic root of 856053360 is about 949.5116086120.

The spelling of 856053360 in words is "eight hundred fifty-six million, fifty-three thousand, three hundred sixty".