1305306960 has 40 divisors (see below), whose sum is σ = 4046452320. Its totient is φ = 348081792.

The previous prime is 1305306953. The next prime is 1305307007. The reversal of 1305306960 is 696035031.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2719150 + ... + 2719629.

It is an arithmetic number, because the mean of its divisors is an integer number (101161308).

Almost surely, 2^1305306960 is an apocalyptic number.

1305306960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1305306960 is an abundant number, since it is smaller than the sum of its proper divisors (2741145360).

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

1305306960 is a wasteful number, since it uses less digits than its factorization.

1305306960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5438795 (or 5438789 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 33.

The square root of 1305306960 is about 36129.0320933180. The cubic root of 1305306960 is about 1092.8759893981.

The spelling of 1305306960 in words is "one billion, three hundred five million, three hundred six thousand, nine hundred sixty".