1563312960 has 280 divisors, whose sum is σ = 6067629216. Its totient is φ = 378915840.

The previous prime is 1563312923. The next prime is 1563312983. The reversal of 1563312960 is 692133651.

1563312960 is a `hidden beast` number, since 1 + 5 + 633 + 12 + 9 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 282379 + ... + 287861.

Almost surely, 2^1563312960 is an apocalyptic number.

1563312960 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 1563312960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3033814608).

1563312960 is an abundant number, since it is smaller than the sum of its proper divisors (4504316256).

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

1563312960 is a wasteful number, since it uses less digits than its factorization.

1563312960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5523 (or 5504 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 1563312960 is about 39538.7526358635. The cubic root of 1563312960 is about 1160.5984229001.

The spelling of 1563312960 in words is "one billion, five hundred sixty-three million, three hundred twelve thousand, nine hundred sixty".