834007104 has 336 divisors, whose sum is σ = 2911254528. Its totient is φ = 231787008.

The previous prime is 834007093. The next prime is 834007127. The reversal of 834007104 is 401700438.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5116527 + ... + 5116689.

It is an arithmetic number, because the mean of its divisors is an integer number (8664448).

Almost surely, 2^834007104 is an apocalyptic number.

834007104 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 834007104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455627264).

834007104 is an abundant number, since it is smaller than the sum of its proper divisors (2077247424).

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

834007104 is a wasteful number, since it uses less digits than its factorization.

834007104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 834007104 is about 28879.1811518263. The cubic root of 834007104 is about 941.2895775489.

The spelling of 834007104 in words is "eight hundred thirty-four million, seven thousand, one hundred four".