832834368 has 84 divisors (see below), whose sum is σ = 2432299428. Its totient is φ = 272363520.

The previous prime is 832834361. The next prime is 832834381. The reversal of 832834368 is 863438238.

832834368 is a `hidden beast` number, since 8 + 3 + 283 + 4 + 368 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 620607744 + 212226624 = 24912^2 + 14568^2 .

It is a super-2 number, since 2×832834368² = 1387226169043918848, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (832834361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16888 + ... + 44168.

Almost surely, 2^832834368 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 832834368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216149714).

832834368 is an abundant number, since it is smaller than the sum of its proper divisors (1599465060).

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

832834368 is a wasteful number, since it uses less digits than its factorization.

832834368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27352 (or 27339 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 832834368 is about 28858.8698323410. The cubic root of 832834368 is about 940.8481736404.

The spelling of 832834368 in words is "eight hundred thirty-two million, eight hundred thirty-four thousand, three hundred sixty-eight".