859272960 has 288 divisors, whose sum is σ = 3378977280. Its totient is φ = 181223424.

The previous prime is 859272943. The next prime is 859273003. The reversal of 859272960 is 69272958.

859272960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×859272960³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 348211 + ... + 350669.

It is an arithmetic number, because the mean of its divisors is an integer number (11732560).

Almost surely, 2^859272960 is an apocalyptic number.

859272960 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 859272960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1689488640).

859272960 is an abundant number, since it is smaller than the sum of its proper divisors (2519704320).

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

859272960 is a wasteful number, since it uses less digits than its factorization.

859272960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2503 (or 2489 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 859272960 is about 29313.3580471429. The cubic root of 859272960 is about 950.7004842930.

The spelling of 859272960 in words is "eight hundred fifty-nine million, two hundred seventy-two thousand, nine hundred sixty".