834638904 has 192 divisors, whose sum is σ = 2670071040. Its totient is φ = 241781760.

The previous prime is 834638869. The next prime is 834638923. The reversal of 834638904 is 409836438.

834638904 is a `hidden beast` number, since 8 + 3 + 4 + 638 + 9 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 834638904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 490984 + ... + 492680.

It is an arithmetic number, because the mean of its divisors is an integer number (13906620).

Almost surely, 2^834638904 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 834638904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335035520).

834638904 is an abundant number, since it is smaller than the sum of its proper divisors (1835432136).

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

834638904 is a wasteful number, since it uses less digits than its factorization.

834638904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1752 (or 1736 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 834638904 is about 28890.1177567694. The cubic root of 834638904 is about 941.5272080768.

The spelling of 834638904 in words is "eight hundred thirty-four million, six hundred thirty-eight thousand, nine hundred four".