829173040 has 40 divisors (see below), whose sum is σ = 1932095088. Its totient is φ = 330935040.

The previous prime is 829173029. The next prime is 829173041. The reversal of 829173040 is 40371928.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 829172987 and 829173005.

It is not an unprimeable number, because it can be changed into a prime (829173041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25639 + ... + 48121.

Almost surely, 2^829173040 is an apocalyptic number.

829173040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

829173040 is an abundant number, since it is smaller than the sum of its proper divisors (1102922048).

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

829173040 is a wasteful number, since it uses less digits than its factorization.

829173040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22957 (or 22951 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 829173040 is about 28795.3649047898. The cubic root of 829173040 is about 939.4674212638.

The spelling of 829173040 in words is "eight hundred twenty-nine million, one hundred seventy-three thousand, forty".