1561260160 has 64 divisors (see below), whose sum is σ = 3747643200. Its totient is φ = 621952000.

The previous prime is 1561260157. The next prime is 1561260163. The reversal of 1561260160 is 610621651.

It is an interprime number because it is at equal distance from previous prime (1561260157) and next prime (1561260163).

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (1561260163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 155781 + ... + 165499.

It is an arithmetic number, because the mean of its divisors is an integer number (58556925).

Almost surely, 2^1561260160 is an apocalyptic number.

1561260160 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 1561260160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1873821600).

1561260160 is an abundant number, since it is smaller than the sum of its proper divisors (2186383040).

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

1561260160 is an equidigital number, since it uses as much as digits as its factorization.

1561260160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9989 (or 9977 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 1561260160 is about 39512.7847664525. The cubic root of 1561260160 is about 1160.0902030529.

The spelling of 1561260160 in words is "one billion, five hundred sixty-one million, two hundred sixty thousand, one hundred sixty".