859830240 has 96 divisors (see below), whose sum is σ = 2726631936. Its totient is φ = 227750400.

The previous prime is 859830217. The next prime is 859830269. The reversal of 859830240 is 42038958.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66549 + ... + 78411.

It is an arithmetic number, because the mean of its divisors is an integer number (28402416).

Almost surely, 2^859830240 is an apocalyptic number.

859830240 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 859830240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363315968).

859830240 is an abundant number, since it is smaller than the sum of its proper divisors (1866801696).

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

859830240 is a wasteful number, since it uses less digits than its factorization.

859830240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12032 (or 12024 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 859830240 is about 29322.8620704051. The cubic root of 859830240 is about 950.9059649326.

The spelling of 859830240 in words is "eight hundred fifty-nine million, eight hundred thirty thousand, two hundred forty".