9631560960 has 720 divisors, whose sum is σ = 41170542336. Its totient is φ = 2102132736.

The previous prime is 9631560931. The next prime is 9631561039. The reversal of 9631560960 is 690651369.

9631560960 is a `hidden beast` number, since 9 + 6 + 31 + 5 + 609 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×9631560960² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16692192 + ... + 16692768.

Almost surely, 2^9631560960 is an apocalyptic number.

9631560960 is a gapful number since it is divisible by the number (90) 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 9631560960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20585271168).

9631560960 is an abundant number, since it is smaller than the sum of its proper divisors (31538981376).

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

9631560960 is a wasteful number, since it uses less digits than its factorization.

9631560960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 9631560960 is about 98140.5164037769. The cubic root of 9631560960 is about 2127.6436548809.

The spelling of 9631560960 in words is "nine billion, six hundred thirty-one million, five hundred sixty thousand, nine hundred sixty".