824034432 has 128 divisors (see below), whose sum is σ = 2460044160. Its totient is φ = 242491392.

The previous prime is 824034403. The next prime is 824034443. The reversal of 824034432 is 234430428.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 824034432.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111228 + ... + 118404.

It is an arithmetic number, because the mean of its divisors is an integer number (19219095).

Almost surely, 2^824034432 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 824034432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230022080).

824034432 is an abundant number, since it is smaller than the sum of its proper divisors (1636009728).

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

824034432 is a wasteful number, since it uses less digits than its factorization.

824034432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7230 (or 7218 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 824034432 is about 28705.9999303282. Note that the first 4 decimals coincide. The cubic root of 824034432 is about 937.5226877354.

The spelling of 824034432 in words is "eight hundred twenty-four million, thirty-four thousand, four hundred thirty-two".