323896320 has 440 divisors, whose sum is σ = 1284009408. Its totient is φ = 77414400.

The previous prime is 323896319. The next prime is 323896337. The reversal of 323896320 is 23698323.

323896320 = T₂₉₈₅ + T₂₉₈₆ + ... + T₃₀₅₅.

323896320 is a `hidden beast` number, since 323 + 8 + 9 + 6 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (440).

It is a super-2 number, since 2×323896320² = 209817652219084800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4561885 + ... + 4561955.

Almost surely, 2^323896320 is an apocalyptic number.

323896320 is a gapful number since it is divisible by the number (30) 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 323896320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642004704).

323896320 is an abundant number, since it is smaller than the sum of its proper divisors (960113088).

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

323896320 is a wasteful number, since it uses less digits than its factorization.

323896320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 323896320 is about 17997.1197695631. The cubic root of 323896320 is about 686.7552760045.

The spelling of 323896320 in words is "three hundred twenty-three million, eight hundred ninety-six thousand, three hundred twenty".