834376140 has 120 divisors (see below), whose sum is σ = 2818883760. Its totient is φ = 205379712.

The previous prime is 834376121. The next prime is 834376141. The reversal of 834376140 is 41673438.

834376140 is a `hidden beast` number, since 8 + 3 + 4 + 37 + 614 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 834376095 and 834376104.

It is not an unprimeable number, because it can be changed into a prime (834376141) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1251 + ... + 40869.

It is an arithmetic number, because the mean of its divisors is an integer number (23490698).

Almost surely, 2^834376140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 834376140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409441880).

834376140 is an abundant number, since it is smaller than the sum of its proper divisors (1984507620).

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

834376140 is a wasteful number, since it uses less digits than its factorization.

834376140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39653 (or 39642 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 834376140 is about 28885.5697537715. The cubic root of 834376140 is about 941.4283927205.

The spelling of 834376140 in words is "eight hundred thirty-four million, three hundred seventy-six thousand, one hundred forty".