1356530560 has 128 divisors (see below), whose sum is σ = 4043312640. Its totient is φ = 422799360.

The previous prime is 1356530509. The next prime is 1356530563. The reversal of 1356530560 is 650356531.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1356530563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35517 + ... + 63043.

It is an arithmetic number, because the mean of its divisors is an integer number (31588380).

Almost surely, 2^1356530560 is an apocalyptic number.

1356530560 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 1356530560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2021656320).

1356530560 is an abundant number, since it is smaller than the sum of its proper divisors (2686782080).

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

1356530560 is a wasteful number, since it uses less digits than its factorization.

1356530560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27564 (or 27552 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 34.

The square root of 1356530560 is about 36831.1085904294. The cubic root of 1356530560 is about 1106.9887161297.

The spelling of 1356530560 in words is "one billion, three hundred fifty-six million, five hundred thirty thousand, five hundred sixty".