834972000 has 192 divisors, whose sum is σ = 2896979904. Its totient is φ = 209510400.

The previous prime is 834971993. The next prime is 834972037. The reversal of 834972000 is 279438.

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, 201954 + ... + 206046.

It is an arithmetic number, because the mean of its divisors is an integer number (15088437).

Almost surely, 2^834972000 is an apocalyptic number.

834972000 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 834972000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448489952).

834972000 is an abundant number, since it is smaller than the sum of its proper divisors (2062007904).

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

834972000 is a wasteful number, since it uses less digits than its factorization.

834972000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4138 (or 4120 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 834972000 is about 28895.8820595600. The cubic root of 834972000 is about 941.6524427677.

The spelling of 834972000 in words is "eight hundred thirty-four million, nine hundred seventy-two thousand".