1329924960 has 768 divisors, whose sum is σ = 6096384000. Its totient is φ = 262766592.

The previous prime is 1329924923. The next prime is 1329924961. The reversal of 1329924960 is 694299231.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1329924961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6682941 + ... + 6683139.

It is an arithmetic number, because the mean of its divisors is an integer number (7938000).

Almost surely, 2^1329924960 is an apocalyptic number.

1329924960 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 1329924960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3048192000).

1329924960 is an abundant number, since it is smaller than the sum of its proper divisors (4766459040).

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

1329924960 is a wasteful number, since it uses less digits than its factorization.

1329924960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 1329924960 is about 36468.1362287683. The cubic root of 1329924960 is about 1099.7037659603.

The spelling of 1329924960 in words is "one billion, three hundred twenty-nine million, nine hundred twenty-four thousand, nine hundred sixty".