829828560 has 80 divisors (see below), whose sum is σ = 2806338240. Its totient is φ = 201169920.

The previous prime is 829828547. The next prime is 829828583. The reversal of 829828560 is 65828928.

829828560 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 (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154525 + ... + 159804.

It is an arithmetic number, because the mean of its divisors is an integer number (35079228).

Almost surely, 2^829828560 is an apocalyptic number.

829828560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

829828560 is an abundant number, since it is smaller than the sum of its proper divisors (1976509680).

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

829828560 is a wasteful number, since it uses less digits than its factorization.

829828560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314356 (or 314350 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The square root of 829828560 is about 28806.7450434790. The cubic root of 829828560 is about 939.7149278907.

The spelling of 829828560 in words is "eight hundred twenty-nine million, eight hundred twenty-eight thousand, five hundred sixty".