1560601360 has 80 divisors (see below), whose sum is σ = 3974410800. Its totient is φ = 567246848.

The previous prime is 1560601333. The next prime is 1560601363. The reversal of 1560601360 is 631060651.

It can be written as a sum of positive squares in 8 ways, for example, as 34292736 + 1526308624 = 5856^2 + 39068^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (1560601363) 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, 19656 + ... + 59224.

It is an arithmetic number, because the mean of its divisors is an integer number (49680135).

Almost surely, 2^1560601360 is an apocalyptic number.

1560601360 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 1560601360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1987205400).

1560601360 is an abundant number, since it is smaller than the sum of its proper divisors (2413809440).

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

1560601360 is a wasteful number, since it uses less digits than its factorization.

1560601360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39628 (or 39622 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 1560601360 is about 39504.4473445712. The cubic root of 1560601360 is about 1159.9270069013.

The spelling of 1560601360 in words is "one billion, five hundred sixty million, six hundred one thousand, three hundred sixty".