856964920 has 80 divisors (see below), whose sum is σ = 2249651160. Its totient is φ = 293783616.

The previous prime is 856964909. The next prime is 856964921. The reversal of 856964920 is 29469658.

856964920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×856964920² = 1468777748221212800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (856964921) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 91579 + ... + 100501.

Almost surely, 2^856964920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 856964920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124825580).

856964920 is an abundant number, since it is smaller than the sum of its proper divisors (1392686240).

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

856964920 is an equidigital number, since it uses as much as digits as its factorization.

856964920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8962 (or 8937 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 49.

The square root of 856964920 is about 29273.9631754909. The cubic root of 856964920 is about 949.8485150887.

The spelling of 856964920 in words is "eight hundred fifty-six million, nine hundred sixty-four thousand, nine hundred twenty".