1305166560 has 96 divisors (see below), whose sum is σ = 4151347200. Its totient is φ = 344652288.

The previous prime is 1305166559. The next prime is 1305166561. The reversal of 1305166560 is 656615031.

It is an interprime number because it is at equal distance from previous prime (1305166559) and next prime (1305166561).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305166561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36241 + ... + 62639.

It is an arithmetic number, because the mean of its divisors is an integer number (43243200).

Almost surely, 2^1305166560 is an apocalyptic number.

1305166560 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 1305166560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2075673600).

1305166560 is an abundant number, since it is smaller than the sum of its proper divisors (2846180640).

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

1305166560 is a wasteful number, since it uses less digits than its factorization.

1305166560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26520 (or 26512 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 1305166560 is about 36127.0890053433. The cubic root of 1305166560 is about 1092.8368044157.

The spelling of 1305166560 in words is "one billion, three hundred five million, one hundred sixty-six thousand, five hundred sixty".