834748416 has 300 divisors, whose sum is σ = 2711927988. Its totient is φ = 254803968.

The previous prime is 834748391. The next prime is 834748427. The reversal of 834748416 is 614847438.

It can be written as a sum of positive squares in 2 ways, for example, as 702038016 + 132710400 = 26496^2 + 11520^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 22560750 + ... + 22560786.

Almost surely, 2^834748416 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 834748416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355963994).

834748416 is an abundant number, since it is smaller than the sum of its proper divisors (1877179572).

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

834748416 is an equidigital number, since it uses as much as digits as its factorization.

834748416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 59 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 834748416 is about 28892.0130139802. The cubic root of 834748416 is about 941.5683851726.

The spelling of 834748416 in words is "eight hundred thirty-four million, seven hundred forty-eight thousand, four hundred sixteen".