829093264 has 40 divisors (see below), whose sum is σ = 1755744768. Its totient is φ = 377571840.

The previous prime is 829093249. The next prime is 829093283. The reversal of 829093264 is 462390928.

829093264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 829093264.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40732 + ... + 57595.

Almost surely, 2^829093264 is an apocalyptic number.

It is an amenable number.

829093264 is an abundant number, since it is smaller than the sum of its proper divisors (926651504).

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

829093264 is a wasteful number, since it uses less digits than its factorization.

829093264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98383 (or 98377 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The square root of 829093264 is about 28793.9796485307. The cubic root of 829093264 is about 939.4372911007.

The spelling of 829093264 in words is "eight hundred twenty-nine million, ninety-three thousand, two hundred sixty-four".