834195840 has 128 divisors (see below), whose sum is σ = 2724109920. Its totient is φ = 217006080.

The previous prime is 834195811. The next prime is 834195841. The reversal of 834195840 is 48591438.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 834195792 and 834195801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (834195841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73422 + ... + 84018.

Almost surely, 2^834195840 is an apocalyptic number.

834195840 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 834195840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362054960).

834195840 is an abundant number, since it is smaller than the sum of its proper divisors (1889914080).

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

834195840 is a wasteful number, since it uses less digits than its factorization.

834195840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10660 (or 10648 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 834195840 is about 28882.4486496557. The cubic root of 834195840 is about 941.3605768762.

The spelling of 834195840 in words is "eight hundred thirty-four million, one hundred ninety-five thousand, eight hundred forty".