1291930080 has 480 divisors, whose sum is σ = 5082134400. Its totient is φ = 275014656.

The previous prime is 1291930063. The next prime is 1291930093. The reversal of 1291930080 is 800391921.

It is a tau number, because it is divible by the number of its divisors (480).

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 79 ways as a sum of consecutive naturals, for example, 21897091 + ... + 21897149.

It is an arithmetic number, because the mean of its divisors is an integer number (10587780).

Almost surely, 2^1291930080 is an apocalyptic number.

1291930080 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 1291930080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2541067200).

1291930080 is an abundant number, since it is smaller than the sum of its proper divisors (3790204320).

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

1291930080 is an equidigital number, since it uses as much as digits as its factorization.

1291930080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 1291930080 is about 35943.4288848463. The cubic root of 1291930080 is about 1089.1298725895.

The spelling of 1291930080 in words is "one billion, two hundred ninety-one million, nine hundred thirty thousand, eighty".