829671264 has 144 divisors (see below), whose sum is σ = 2525363568. Its totient is φ = 257458176.

The previous prime is 829671253. The next prime is 829671287. The reversal of 829671264 is 462176928.

It is a happy number.

829671264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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, 474039 + ... + 475785.

It is an arithmetic number, because the mean of its divisors is an integer number (17537247).

Almost surely, 2^829671264 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 829671264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262681784).

829671264 is an abundant number, since it is smaller than the sum of its proper divisors (1695692304).

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

829671264 is a wasteful number, since it uses less digits than its factorization.

829671264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1877 (or 1866 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 829671264 is about 28804.0147201740. The cubic root of 829671264 is about 939.6555490636.

The spelling of 829671264 in words is "eight hundred twenty-nine million, six hundred seventy-one thousand, two hundred sixty-four".