1329906240 has 168 divisors, whose sum is σ = 4926333048. Its totient is φ = 327352320.

The previous prime is 1329906239. The next prime is 1329906251. The reversal of 1329906240 is 426099231.

1329906240 is a `hidden beast` number, since 1 + 3 + 29 + 9 + 0 + 624 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 137170944 + 1192735296 = 11712^2 + 34536^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1329906195 and 1329906204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19680 + ... + 55200.

It is an arithmetic number, because the mean of its divisors is an integer number (29323411).

Almost surely, 2^1329906240 is an apocalyptic number.

1329906240 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 1329906240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2463166524).

1329906240 is an abundant number, since it is smaller than the sum of its proper divisors (3596426808).

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

1329906240 is a wasteful number, since it uses less digits than its factorization.

1329906240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35557 (or 35544 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1329906240 is about 36467.8795654477. The cubic root of 1329906240 is about 1099.6986061325.

The spelling of 1329906240 in words is "one billion, three hundred twenty-nine million, nine hundred six thousand, two hundred forty".