1330729920 has 168 divisors, whose sum is σ = 4929384096. Its totient is φ = 327555072.

The previous prime is 1330729861. The next prime is 1330729937. The reversal of 1330729920 is 299270331.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19669 + ... + 55211.

It is an arithmetic number, because the mean of its divisors is an integer number (29341572).

Almost surely, 2^1330729920 is an apocalyptic number.

1330729920 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 1330729920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2464692048).

1330729920 is an abundant number, since it is smaller than the sum of its proper divisors (3598654176).

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

1330729920 is a wasteful number, since it uses less digits than its factorization.

1330729920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35579 (or 35566 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 1330729920 is about 36479.1710432131. The cubic root of 1330729920 is about 1099.9255927631.

The spelling of 1330729920 in words is "one billion, three hundred thirty million, seven hundred twenty-nine thousand, nine hundred twenty".