829089144 has 96 divisors (see below), whose sum is σ = 2428498800. Its totient is φ = 254016000.

The previous prime is 829089137. The next prime is 829089161. The reversal of 829089144 is 441980928.

It is a self number, because there is not a number n which added to its sum of digits gives 829089144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 233172 + ... + 236700.

Almost surely, 2^829089144 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 829089144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214249400).

829089144 is an abundant number, since it is smaller than the sum of its proper divisors (1599409656).

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

829089144 is a wasteful number, since it uses less digits than its factorization.

829089144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3805 (or 3798 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 829089144 is about 28793.9081057087. The cubic root of 829089144 is about 939.4357349878.

The spelling of 829089144 in words is "eight hundred twenty-nine million, eighty-nine thousand, one hundred forty-four".