1563248160 has 288 divisors, whose sum is σ = 5715021312. Its totient is φ = 403107840.

The previous prime is 1563248117. The next prime is 1563248177. The reversal of 1563248160 is 618423651.

It is a happy number.

1563248160 is a `hidden beast` number, since 1 + 5 + 632 + 4 + 8 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

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 47 ways as a sum of consecutive naturals, for example, 1204632 + ... + 1205928.

It is an arithmetic number, because the mean of its divisors is an integer number (19843824).

Almost surely, 2^1563248160 is an apocalyptic number.

1563248160 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 1563248160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2857510656).

1563248160 is an abundant number, since it is smaller than the sum of its proper divisors (4151773152).

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

1563248160 is a wasteful number, since it uses less digits than its factorization.

1563248160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1563248160 is about 39537.9331781518. The cubic root of 1563248160 is about 1160.5823869092.

The spelling of 1563248160 in words is "one billion, five hundred sixty-three million, two hundred forty-eight thousand, one hundred sixty".