829501968 has 40 divisors (see below), whose sum is σ = 2212009216. Its totient is φ = 267580800.

The previous prime is 829501921. The next prime is 829501987. The reversal of 829501968 is 869105928.

It is a happy number.

It is a super-3 number, since 3×829501968³ (a number of 28 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 277243 + ... + 280218.

Almost surely, 2^829501968 is an apocalyptic number.

It is an amenable number.

829501968 is an abundant number, since it is smaller than the sum of its proper divisors (1382507248).

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

829501968 is a wasteful number, since it uses less digits than its factorization.

829501968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557503 (or 557497 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 48.

The square root of 829501968 is about 28801.0758132400. The cubic root of 829501968 is about 939.5916318818.

The spelling of 829501968 in words is "eight hundred twenty-nine million, five hundred one thousand, nine hundred sixty-eight".