829390224 has 80 divisors (see below), whose sum is σ = 2369834432. Its totient is φ = 248292864.

The previous prime is 829390207. The next prime is 829390229. The reversal of 829390224 is 422093928.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (829390229) by changing a digit.

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, 5127 + ... + 41049.

Almost surely, 2^829390224 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 829390224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184917216).

829390224 is an abundant number, since it is smaller than the sum of its proper divisors (1540444208).

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

829390224 is a wasteful number, since it uses less digits than its factorization.

829390224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35984 (or 35978 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 829390224 is about 28799.1358203679. The cubic root of 829390224 is about 939.5494385150.

The spelling of 829390224 in words is "eight hundred twenty-nine million, three hundred ninety thousand, two hundred twenty-four".