1560960000 has 330 divisors, whose sum is σ = 5653027952. Its totient is φ = 414720000.

The previous prime is 1560959989. The next prime is 1560960007. The reversal of 1560960000 is 690651.

1560960000 is a `hidden beast` number, since 1 + 56 + 0 + 9 + 600 + 0 + 0 = 666.

It is a super-2 number, since 2×1560960000² = 4873192243200000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1560960007) 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 29 ways as a sum of consecutive naturals, for example, 5759865 + ... + 5760135.

Almost surely, 2^1560960000 is an apocalyptic number.

1560960000 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 1560960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2826513976).

1560960000 is an abundant number, since it is smaller than the sum of its proper divisors (4092067952).

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

1560960000 is an equidigital number, since it uses as much as digits as its factorization.

1560960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 1560960000 is about 39508.9863195704. The cubic root of 1560960000 is about 1160.0158539252.

The spelling of 1560960000 in words is "one billion, five hundred sixty million, nine hundred sixty thousand".