856923120 has 240 divisors, whose sum is σ = 2968336800. Its totient is φ = 221460480.

The previous prime is 856923107. The next prime is 856923127. The reversal of 856923120 is 21329658.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (856923127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4787191 + ... + 4787369.

It is an arithmetic number, because the mean of its divisors is an integer number (12368070).

Almost surely, 2^856923120 is an apocalyptic number.

856923120 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 856923120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484168400).

856923120 is an abundant number, since it is smaller than the sum of its proper divisors (2111413680).

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

856923120 is a wasteful number, since it uses less digits than its factorization.

856923120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 856923120 is about 29273.2492217724. The cubic root of 856923120 is about 949.8330713163.

The spelling of 856923120 in words is "eight hundred fifty-six million, nine hundred twenty-three thousand, one hundred twenty".