1560295968 has 288 divisors, whose sum is σ = 5319659520. Its totient is φ = 391564800.

The previous prime is 1560295963. The next prime is 1560295973. The reversal of 1560295968 is 8695920651.

It is an interprime number because it is at equal distance from previous prime (1560295963) and next prime (1560295973).

It is a self number, because there is not a number n which added to its sum of digits gives 1560295968.

It is not an unprimeable number, because it can be changed into a prime (1560295963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2520363 + ... + 2520981.

It is an arithmetic number, because the mean of its divisors is an integer number (18471040).

Almost surely, 2^1560295968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1560295968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2659829760).

1560295968 is an abundant number, since it is smaller than the sum of its proper divisors (3759363552).

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

1560295968 is a wasteful number, since it uses less digits than its factorization.

1560295968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 51.

The square root of 1560295968 is about 39500.5818691320. The cubic root of 1560295968 is about 1159.8513404420.

The spelling of 1560295968 in words is "one billion, five hundred sixty million, two hundred ninety-five thousand, nine hundred sixty-eight".