856317600 has 216 divisors, whose sum is σ = 3151485792. Its totient is φ = 218380800.

The previous prime is 856317599. The next prime is 856317617. The reversal of 856317600 is 6713658.

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

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 35 ways as a sum of consecutive naturals, for example, 163015 + ... + 168185.

It is an arithmetic number, because the mean of its divisors is an integer number (14590212).

Almost surely, 2^856317600 is an apocalyptic number.

856317600 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 856317600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575742896).

856317600 is an abundant number, since it is smaller than the sum of its proper divisors (2295168192).

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

856317600 is a wasteful number, since it uses less digits than its factorization.

856317600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5220 (or 5204 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 856317600 is about 29262.9048455549. The cubic root of 856317600 is about 949.6092945540.

The spelling of 856317600 in words is "eight hundred fifty-six million, three hundred seventeen thousand, six hundred".