829381644 has 216 divisors, whose sum is σ = 2675247120. Its totient is φ = 214679808.

The previous prime is 829381621. The next prime is 829381687. The reversal of 829381644 is 446183928.

It is a happy number.

829381644 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×829381644² = 1375747822808285472, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 829381644.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1352682 + ... + 1353294.

Almost surely, 2^829381644 is an apocalyptic number.

829381644 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 829381644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337623560).

829381644 is an abundant number, since it is smaller than the sum of its proper divisors (1845865476).

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

829381644 is a wasteful number, since it uses less digits than its factorization.

829381644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 697 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 829381644 is about 28798.9868571795. The cubic root of 829381644 is about 939.5461986400.

The spelling of 829381644 in words is "eight hundred twenty-nine million, three hundred eighty-one thousand, six hundred forty-four".