1359970560 has 360 divisors, whose sum is σ = 5245742040. Its totient is φ = 334430208.

The previous prime is 1359970529. The next prime is 1359970567. The reversal of 1359970560 is 650799531.

1359970560 is a `hidden beast` number, since 1 + 3 + 599 + 7 + 0 + 56 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1016064 + 1358954496 = 1008^2 + 36864^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1359970567) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1347336 + ... + 1348344.

Almost surely, 2^1359970560 is an apocalyptic number.

1359970560 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 1359970560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2622871020).

1359970560 is an abundant number, since it is smaller than the sum of its proper divisors (3885771480).

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

1359970560 is a wasteful number, since it uses less digits than its factorization.

1359970560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 255150, while the sum is 45.

The square root of 1359970560 is about 36877.7786749690. The cubic root of 1359970560 is about 1107.9236568060.

The spelling of 1359970560 in words is "one billion, three hundred fifty-nine million, nine hundred seventy thousand, five hundred sixty".