824141436 has 48 divisors (see below), whose sum is σ = 2051723520. Its totient is φ = 256572160.

The previous prime is 824141429. The next prime is 824141449. The reversal of 824141436 is 634141428.

It is a junction number, because it is equal to n+sod(n) for n = 824141397 and 824141406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11305 + ... + 42143.

It is an arithmetic number, because the mean of its divisors is an integer number (42744240).

Almost surely, 2^824141436 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 824141436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025861760).

824141436 is an abundant number, since it is smaller than the sum of its proper divisors (1227582084).

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

824141436 is a wasteful number, since it uses less digits than its factorization.

824141436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30994 (or 30992 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 824141436 is about 28707.8636613733. The cubic root of 824141436 is about 937.5632662727.

The spelling of 824141436 in words is "eight hundred twenty-four million, one hundred forty-one thousand, four hundred thirty-six".