1329829760 has 256 divisors, whose sum is σ = 4053888000. Its totient is φ = 406093824.

The previous prime is 1329829759. The next prime is 1329829763. The reversal of 1329829760 is 679289231.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1329829763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1446581 + ... + 1447499.

It is an arithmetic number, because the mean of its divisors is an integer number (15835500).

Almost surely, 2^1329829760 is an apocalyptic number.

1329829760 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 1329829760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2026944000).

1329829760 is an abundant number, since it is smaller than the sum of its proper divisors (2724058240).

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

1329829760 is a wasteful number, since it uses less digits than its factorization.

1329829760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 47.

The square root of 1329829760 is about 36466.8309563636. The cubic root of 1329829760 is about 1099.6775253077.

The spelling of 1329829760 in words is "one billion, three hundred twenty-nine million, eight hundred twenty-nine thousand, seven hundred sixty".