1305883680 has 288 divisors, whose sum is σ = 4504248000. Its totient is φ = 317122560.

The previous prime is 1305883637. The next prime is 1305883693. The reversal of 1305883680 is 863885031.

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, 8764246 + ... + 8764394.

It is an arithmetic number, because the mean of its divisors is an integer number (15639750).

Almost surely, 2^1305883680 is an apocalyptic number.

1305883680 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 1305883680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2252124000).

1305883680 is an abundant number, since it is smaller than the sum of its proper divisors (3198364320).

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

1305883680 is a wasteful number, since it uses less digits than its factorization.

1305883680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 1305883680 is about 36137.0126048073. The cubic root of 1305883680 is about 1093.0369197788.

The spelling of 1305883680 in words is "one billion, three hundred five million, eight hundred eighty-three thousand, six hundred eighty".