860829120 has 140 divisors (see below), whose sum is σ = 3062212824. Its totient is φ = 229547520.

The previous prime is 860829097. The next prime is 860829139. The reversal of 860829120 is 21928068.

860829120 is a `hidden beast` number, since 8 + 608 + 29 + 1 + 20 = 666.

860829120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9315 + ... + 42525.

Almost surely, 2^860829120 is an apocalyptic number.

860829120 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 860829120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531106412).

860829120 is an abundant number, since it is smaller than the sum of its proper divisors (2201383704).

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

860829120 is a wasteful number, since it uses less digits than its factorization.

860829120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33240 (or 33221 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 860829120 is about 29339.8895703443. The cubic root of 860829120 is about 951.2740505257.

The spelling of 860829120 in words is "eight hundred sixty million, eight hundred twenty-nine thousand, one hundred twenty".