1563528960 has 576 divisors, whose sum is σ = 6640220160. Its totient is φ = 340623360.

The previous prime is 1563528959. The next prime is 1563528961. The reversal of 1563528960 is 698253651.

1563528960 is a `hidden beast` number, since 1 + 5 + 63 + 528 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (1563528959) and next prime (1563528961).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1563528961) 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 63 ways as a sum of consecutive naturals, for example, 5564020 + ... + 5564300.

It is an arithmetic number, because the mean of its divisors is an integer number (11528160).

Almost surely, 2^1563528960 is an apocalyptic number.

1563528960 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 1563528960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3320110080).

1563528960 is an abundant number, since it is smaller than the sum of its proper divisors (5076691200).

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

1563528960 is a wasteful number, since it uses less digits than its factorization.

1563528960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 1563528960 is about 39541.4840389179. The cubic root of 1563528960 is about 1160.6518730027.

The spelling of 1563528960 in words is "one billion, five hundred sixty-three million, five hundred twenty-eight thousand, nine hundred sixty".