860129280 has 480 divisors, whose sum is σ = 3317834520. Its totient is φ = 212336640.

The previous prime is 860129273. The next prime is 860129293. The reversal of 860129280 is 82921068.

860129280 is a `hidden beast` number, since 8 + 601 + 29 + 28 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 571401216 + 288728064 = 23904^2 + 16992^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a zygodrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14100450 + ... + 14100510.

Almost surely, 2^860129280 is an apocalyptic number.

860129280 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 860129280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1658917260).

860129280 is an abundant number, since it is smaller than the sum of its proper divisors (2457705240).

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

860129280 is a wasteful number, since it uses less digits than its factorization.

860129280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 88 counting only the distinct ones).

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

The square root of 860129280 is about 29327.9607201046. The cubic root of 860129280 is about 951.0161905512.

The spelling of 860129280 in words is "eight hundred sixty million, one hundred twenty-nine thousand, two hundred eighty".