833838048 has 144 divisors (see below), whose sum is σ = 2441537280. Its totient is φ = 269837568.

The previous prime is 833838043. The next prime is 833838101. The reversal of 833838048 is 840838338.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 833837994 and 833838012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (833838041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1524111 + ... + 1524657.

It is an arithmetic number, because the mean of its divisors is an integer number (16955120).

Almost surely, 2^833838048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 833838048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220768640).

833838048 is an abundant number, since it is smaller than the sum of its proper divisors (1607699232).

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

833838048 is a wasteful number, since it uses less digits than its factorization.

833838048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 833838048 is about 28876.2540506902. The cubic root of 833838048 is about 941.2259724135.

The spelling of 833838048 in words is "eight hundred thirty-three million, eight hundred thirty-eight thousand, forty-eight".