1330206784 has 63 divisors (see below), whose sum is σ = 2725076973. Its totient is φ = 644241408.

The previous prime is 1330206781. The next prime is 1330206793. The reversal of 1330206784 is 4876020331.

It is a happy number.

The square root of 1330206784 is 36472.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 597313600 + 732893184 = 24440^2 + 27072^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1330206781) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13713424 + ... + 13713520.

Almost surely, 2^1330206784 is an apocalyptic number.

1330206784 is the 36472-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1330206784

1330206784 is an abundant number, since it is smaller than the sum of its proper divisors (1394870189).

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

1330206784 is an frugal number, since it uses more digits than its factorization.

1330206784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The cubic root of 1330206784 is about 1099.7814397725.

The spelling of 1330206784 in words is "one billion, three hundred thirty million, two hundred six thousand, seven hundred eighty-four".