834921024 has 112 divisors (see below), whose sum is σ = 2583533568. Its totient is φ = 232985088.

The previous prime is 834921023. The next prime is 834921029. The reversal of 834921024 is 420129438.

It is a Cunningham number, because it is equal to 28895²-1.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (834921023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50569 + ... + 65015.

It is an arithmetic number, because the mean of its divisors is an integer number (23067264).

Almost surely, 2^834921024 is an apocalyptic number.

834921024 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 834921024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291766784).

834921024 is an abundant number, since it is smaller than the sum of its proper divisors (1748612544).

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

834921024 is a wasteful number, since it uses less digits than its factorization.

834921024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14512 (or 14502 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 834921024 is about 28894.9999826960. Note that the first 4 decimals coincide. The cubic root of 834921024 is about 941.6332793899.

The spelling of 834921024 in words is "eight hundred thirty-four million, nine hundred twenty-one thousand, twenty-four".