856203264 has 336 divisors, whose sum is σ = 2988259200. Its totient is φ = 241532928.

The previous prime is 856203263. The next prime is 856203301. The reversal of 856203264 is 462302658.

856203264 is a `hidden beast` number, since 8 + 5 + 620 + 3 + 26 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is not an unprimeable number, because it can be changed into a prime (856203263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10837977 + ... + 10838055.

Almost surely, 2^856203264 is an apocalyptic number.

856203264 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 856203264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494129600).

856203264 is an abundant number, since it is smaller than the sum of its proper divisors (2132055936).

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

856203264 is an equidigital number, since it uses as much as digits as its factorization.

856203264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 856203264 is about 29260.9511807118. The cubic root of 856203264 is about 949.5670285533.

The spelling of 856203264 in words is "eight hundred fifty-six million, two hundred three thousand, two hundred sixty-four".