834224640 has 160 divisors (see below), whose sum is σ = 2807766720. Its totient is φ = 210714624.

The previous prime is 834224609. The next prime is 834224711. The reversal of 834224640 is 46422438.

It is a tau number, because it is divible by the number of its divisors (160).

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, 143062 + ... + 148778.

It is an arithmetic number, because the mean of its divisors is an integer number (17548542).

Almost surely, 2^834224640 is an apocalyptic number.

834224640 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 834224640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403883360).

834224640 is an abundant number, since it is smaller than the sum of its proper divisors (1973542080).

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

834224640 is a wasteful number, since it uses less digits than its factorization.

834224640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5762 (or 5746 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The square root of 834224640 is about 28882.9472180385. The cubic root of 834224640 is about 941.3714100129.

The spelling of 834224640 in words is "eight hundred thirty-four million, two hundred twenty-four thousand, six hundred forty".