1329168000 has 128 divisors (see below), whose sum is σ = 4406351040. Its totient is φ = 354432000.

The previous prime is 1329167993. The next prime is 1329168007. The reversal of 1329168000 is 8619231.

It is an interprime number because it is at equal distance from previous prime (1329167993) and next prime (1329168007).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1329168007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34155 + ... + 61845.

Almost surely, 2^1329168000 is an apocalyptic number.

1329168000 is a gapful number since it is divisible by the number (10) 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 1329168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2203175520).

1329168000 is an abundant number, since it is smaller than the sum of its proper divisors (3077183040).

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

1329168000 is an equidigital number, since it uses as much as digits as its factorization.

1329168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27723 (or 27701 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 1329168000 is about 36457.7563763872. The cubic root of 1329168000 is about 1099.4950850771.

The spelling of 1329168000 in words is "one billion, three hundred twenty-nine million, one hundred sixty-eight thousand".