821941344 has 240 divisors, whose sum is σ = 2799165600. Its totient is φ = 231745536.

The previous prime is 821941343. The next prime is 821941357. The reversal of 821941344 is 443149128.

It is a happy number.

821941344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 821941299 and 821941308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (821941343) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1614562 + ... + 1615070.

It is an arithmetic number, because the mean of its divisors is an integer number (11663190).

Almost surely, 2^821941344 is an apocalyptic number.

821941344 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 821941344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399582800).

821941344 is an abundant number, since it is smaller than the sum of its proper divisors (1977224256).

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

821941344 is a wasteful number, since it uses less digits than its factorization.

821941344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 610 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 821941344 is about 28669.5194239457. The cubic root of 821941344 is about 936.7282301170.

It can be divided in two parts, 82194 and 1344, that added together give a palindrome (83538).

The spelling of 821941344 in words is "eight hundred twenty-one million, nine hundred forty-one thousand, three hundred forty-four".