1560616560 has 120 divisors (see below), whose sum is σ = 5307606720. Its totient is φ = 410881536.

The previous prime is 1560616553. The next prime is 1560616567. The reversal of 1560616560 is 656160651.

It is an interprime number because it is at equal distance from previous prime (1560616553) and next prime (1560616567).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1560616567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43162 + ... + 70598.

It is an arithmetic number, because the mean of its divisors is an integer number (44230056).

Almost surely, 2^1560616560 is an apocalyptic number.

1560616560 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 1560616560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2653803360).

1560616560 is an abundant number, since it is smaller than the sum of its proper divisors (3746990160).

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

1560616560 is a wasteful number, since it uses less digits than its factorization.

1560616560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27535 (or 27526 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 1560616560 is about 39504.6397275054. The cubic root of 1560616560 is about 1159.9307727216.

The spelling of 1560616560 in words is "one billion, five hundred sixty million, six hundred sixteen thousand, five hundred sixty".