1331830080 has 672 divisors, whose sum is σ = 5759988480. Its totient is φ = 283668480.

The previous prime is 1331830001. The next prime is 1331830081. The reversal of 1331830080 is 800381331.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331830081) 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 95 ways as a sum of consecutive naturals, for example, 21833250 + ... + 21833310.

Almost surely, 2^1331830080 is an apocalyptic number.

1331830080 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 1331830080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2879994240).

1331830080 is an abundant number, since it is smaller than the sum of its proper divisors (4428158400).

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

1331830080 is a wasteful number, since it uses less digits than its factorization.

1331830080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1331830080 is about 36494.2472178835. The cubic root of 1331830080 is about 1100.2286246555.

The spelling of 1331830080 in words is "one billion, three hundred thirty-one million, eight hundred thirty thousand, eighty".