1330830006 has 64 divisors (see below), whose sum is σ = 3081888000. Its totient is φ = 378639360.

The previous prime is 1330830001. The next prime is 1330830037. The reversal of 1330830006 is 6000380331.

It is a super-2 number, since 2×1330830006² = 3542217009739920072, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330830001) 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, 558690 + ... + 561066.

It is an arithmetic number, because the mean of its divisors is an integer number (48154500).

Almost surely, 2^1330830006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1330830006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1540944000).

1330830006 is an abundant number, since it is smaller than the sum of its proper divisors (1751057994).

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

1330830006 is a wasteful number, since it uses less digits than its factorization.

1330830006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2909.

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 1330830006 is about 36480.5428413559. The cubic root of 1330830006 is about 1099.9531677031.

The spelling of 1330830006 in words is "one billion, three hundred thirty million, eight hundred thirty thousand, six".