834648000 has 224 divisors, whose sum is σ = 2795869440. Its totient is φ = 219366400.

The previous prime is 834647987. The next prime is 834648007. The reversal of 834648000 is 846438.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (834648007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1991791 + ... + 1992209.

It is an arithmetic number, because the mean of its divisors is an integer number (12481560).

Almost surely, 2^834648000 is an apocalyptic number.

834648000 is a gapful number since it is divisible by the number (80) 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 834648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397934720).

834648000 is an abundant number, since it is smaller than the sum of its proper divisors (1961221440).

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

834648000 is a wasteful number, since it uses less digits than its factorization.

834648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 834648000 is about 28890.2751804132. The cubic root of 834648000 is about 941.5306283585.

The spelling of 834648000 in words is "eight hundred thirty-four million, six hundred forty-eight thousand".