856293120 has 216 divisors, whose sum is σ = 3073530096. Its totient is φ = 228261888.

The previous prime is 856293107. The next prime is 856293127. The reversal of 856293120 is 21392658.

856293120 is a `hidden beast` number, since 8 + 5 + 629 + 3 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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 (856293127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 309664 + ... + 312416.

It is an arithmetic number, because the mean of its divisors is an integer number (14229306).

Almost surely, 2^856293120 is an apocalyptic number.

856293120 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 856293120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536765048).

856293120 is an abundant number, since it is smaller than the sum of its proper divisors (2217236976).

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

856293120 is an equidigital number, since it uses as much as digits as its factorization.

856293120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2789 (or 2763 counting only the distinct ones).

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

The square root of 856293120 is about 29262.4865655672. The cubic root of 856293120 is about 949.6002454749.

The spelling of 856293120 in words is "eight hundred fifty-six million, two hundred ninety-three thousand, one hundred twenty".