834692040 has 640 divisors, whose sum is σ = 3659040000. Its totient is φ = 165722112.

The previous prime is 834692017. The next prime is 834692041. The reversal of 834692040 is 40296438.

It is a happy number.

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 = 834691986 and 834692004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (834692041) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5601886 + ... + 5602034.

It is an arithmetic number, because the mean of its divisors is an integer number (5717250).

Almost surely, 2^834692040 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 834692040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1829520000).

834692040 is an abundant number, since it is smaller than the sum of its proper divisors (2824347960).

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

834692040 is a wasteful number, since it uses less digits than its factorization.

834692040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 834692040 is about 28891.0373645530. The cubic root of 834692040 is about 941.5471879459.

The spelling of 834692040 in words is "eight hundred thirty-four million, six hundred ninety-two thousand, forty".