856965120 has 240 divisors, whose sum is σ = 3000932928. Its totient is φ = 207093760.

The previous prime is 856965107. The next prime is 856965127. The reversal of 856965120 is 21569658.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×856965120² = 1468778433793228800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (856965127) 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 15 ways as a sum of consecutive naturals, for example, 2703202 + ... + 2703518.

Almost surely, 2^856965120 is an apocalyptic number.

856965120 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 856965120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500466464).

856965120 is an abundant number, since it is smaller than the sum of its proper divisors (2143967808).

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

856965120 is a wasteful number, since it uses less digits than its factorization.

856965120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The square root of 856965120 is about 29273.9665914956. The cubic root of 856965120 is about 949.8485889811.

The spelling of 856965120 in words is "eight hundred fifty-six million, nine hundred sixty-five thousand, one hundred twenty".