829153990 has 48 divisors (see below), whose sum is σ = 1742049504. Its totient is φ = 283315200.

The previous prime is 829153909. The next prime is 829153991. The reversal of 829153990 is 99351928.

It is a self number, because there is not a number n which added to its sum of digits gives 829153990.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829153991) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149670 + ... + 155110.

It is an arithmetic number, because the mean of its divisors is an integer number (36292698).

Almost surely, 2^829153990 is an apocalyptic number.

829153990 is an abundant number, since it is smaller than the sum of its proper divisors (912895514).

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

829153990 is a wasteful number, since it uses less digits than its factorization.

829153990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5773 (or 5766 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 46.

The square root of 829153990 is about 28795.0341204868. The cubic root of 829153990 is about 939.4602265486.

The spelling of 829153990 in words is "eight hundred twenty-nine million, one hundred fifty-three thousand, nine hundred ninety".