834086904 has 128 divisors (see below), whose sum is σ = 2521635840. Its totient is φ = 224750592.

The previous prime is 834086887. The next prime is 834086921. The reversal of 834086904 is 409680438.

It is an interprime number because it is at equal distance from previous prime (834086887) and next prime (834086921).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 280594 + ... + 283550.

It is an arithmetic number, because the mean of its divisors is an integer number (19700280).

Almost surely, 2^834086904 is an apocalyptic number.

834086904 is a gapful number since it is divisible by the number (84) 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 834086904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260817920).

834086904 is an abundant number, since it is smaller than the sum of its proper divisors (1687548936).

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

834086904 is a wasteful number, since it uses less digits than its factorization.

834086904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3069 (or 3065 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 834086904 is about 28880.5627368997. The cubic root of 834086904 is about 941.3195982814.

The spelling of 834086904 in words is "eight hundred thirty-four million, eighty-six thousand, nine hundred four".