1563887640 has 256 divisors, whose sum is σ = 5679590400. Its totient is φ = 336881664.

The previous prime is 1563887629. The next prime is 1563887719. The reversal of 1563887640 is 467883651.

It is a self number, because there is not a number n which added to its sum of digits gives 1563887640.

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 63 ways as a sum of consecutive naturals, for example, 1046734 + ... + 1048226.

It is an arithmetic number, because the mean of its divisors is an integer number (22185900).

Almost surely, 2^1563887640 is an apocalyptic number.

1563887640 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 1563887640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2839795200).

1563887640 is an abundant number, since it is smaller than the sum of its proper divisors (4115702760).

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

1563887640 is a wasteful number, since it uses less digits than its factorization.

1563887640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 1563887640 is about 39546.0192686950. The cubic root of 1563887640 is about 1160.7406189943.

The spelling of 1563887640 in words is "one billion, five hundred sixty-three million, eight hundred eighty-seven thousand, six hundred forty".