321164676 has 240 divisors, whose sum is σ = 1048924800. Its totient is φ = 83607552.

The previous prime is 321164659. The next prime is 321164713. The reversal of 321164676 is 676461123.

It is a happy number.

321164676 is a `hidden beast` number, since 3 + 2 + 1 + 1 + 646 + 7 + 6 = 666.

It is a super-2 number, since 2×321164676² = 206293498220369952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 321164676.

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 79 ways as a sum of consecutive naturals, for example, 1249540 + ... + 1249796.

It is an arithmetic number, because the mean of its divisors is an integer number (4370520).

Almost surely, 2^321164676 is an apocalyptic number.

321164676 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321164676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524462400).

321164676 is an abundant number, since it is smaller than the sum of its proper divisors (727760124).

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

321164676 is a wasteful number, since it uses less digits than its factorization.

321164676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 317 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 321164676 is about 17921.0679369283. The cubic root of 321164676 is about 684.8191939377.

The spelling of 321164676 in words is "three hundred twenty-one million, one hundred sixty-four thousand, six hundred seventy-six".