1308916080 has 240 divisors, whose sum is σ = 4663451520. Its totient is φ = 328084992.

The previous prime is 1308916057. The next prime is 1308916109. The reversal of 1308916080 is 806198031.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1308916080² = 3426522608965132800, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2229547 + ... + 2230133.

It is an arithmetic number, because the mean of its divisors is an integer number (19431048).

Almost surely, 2^1308916080 is an apocalyptic number.

1308916080 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 1308916080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2331725760).

1308916080 is an abundant number, since it is smaller than the sum of its proper divisors (3354535440).

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

1308916080 is a wasteful number, since it uses less digits than its factorization.

1308916080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1308916080 is about 36178.9452582576. The cubic root of 1308916080 is about 1093.8823148553.

The spelling of 1308916080 in words is "one billion, three hundred eight million, nine hundred sixteen thousand, eighty".