323688960 has 400 divisors, whose sum is σ = 1330914816. Its totient is φ = 73654272.

The previous prime is 323688943. The next prime is 323688971. The reversal of 323688960 is 69886323.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1451409 + ... + 1451631.

Almost surely, 2^323688960 is an apocalyptic number.

323688960 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 323688960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665457408).

323688960 is an abundant number, since it is smaller than the sum of its proper divisors (1007225856).

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

323688960 is an equidigital number, since it uses as much as digits as its factorization.

323688960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 323688960 is about 17991.3579254041. The cubic root of 323688960 is about 686.6086900287.

It can be divided in two parts, 32368 and 8960, that added together give a triangular number (41328 = T₂₈₇).

The spelling of 323688960 in words is "three hundred twenty-three million, six hundred eighty-eight thousand, nine hundred sixty".