829063264 has 24 divisors (see below), whose sum is σ = 1633185288. Its totient is φ = 414286080.

The previous prime is 829063241. The next prime is 829063289. The reversal of 829063264 is 462360928.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 55084 + ... + 68500.

It is an arithmetic number, because the mean of its divisors is an integer number (68049387).

Almost surely, 2^829063264 is an apocalyptic number.

It is an amenable number.

829063264 is a deficient number, since it is larger than the sum of its proper divisors (804122024).

829063264 is a wasteful number, since it uses less digits than its factorization.

829063264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15358 (or 15350 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The square root of 829063264 is about 28793.4587015871. The cubic root of 829063264 is about 939.4259600640.

The spelling of 829063264 in words is "eight hundred twenty-nine million, sixty-three thousand, two hundred sixty-four".