1063516320 has 288 divisors, whose sum is σ = 3829617792. Its totient is φ = 268240896.

The previous prime is 1063516309. The next prime is 1063516339. The reversal of 1063516320 is 236153601.

1063516320 is a `hidden beast` number, since 1 + 0 + 635 + 1 + 6 + 3 + 20 = 666.

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

It is a super-2 number, since 2×1063516320² = 2262133925812684800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5398462 + ... + 5398658.

It is an arithmetic number, because the mean of its divisors is an integer number (13297284).

Almost surely, 2^1063516320 is an apocalyptic number.

1063516320 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 1063516320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1914808896).

1063516320 is an abundant number, since it is smaller than the sum of its proper divisors (2766101472).

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

1063516320 is a wasteful number, since it uses less digits than its factorization.

1063516320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 1063516320 is about 32611.5979369304. The cubic root of 1063516320 is about 1020.7390261271.

Adding to 1063516320 its reverse (236153601), we get a palindrome (1299669921).

The spelling of 1063516320 in words is "one billion, sixty-three million, five hundred sixteen thousand, three hundred twenty".