9646560 has 384 divisors, whose sum is σ = 43545600. Its totient is φ = 1935360.

The previous prime is 9646543. The next prime is 9646561. The reversal of 9646560 is 656469.

It is a happy number.

9646560 is a `hidden beast` number, since 9 + 646 + 5 + 6 + 0 = 666.

It is a super-2 number, since 2×9646560² = 186112239667200, which contains 22 as substring.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9646561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 332626 + ... + 332654.

It is an arithmetic number, because the mean of its divisors is an integer number (113400).

Almost surely, 2^9646560 is an apocalyptic number.

9646560 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 9646560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21772800).

9646560 is an abundant number, since it is smaller than the sum of its proper divisors (33899040).

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

9646560 is a wasteful number, since it uses less digits than its factorization.

9646560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 9646560 is about 3105.8911764581. The cubic root of 9646560 is about 212.8747527905.

It can be divided in two parts, 96 and 46560, that added together give a 6-th power (46656 = 6⁶).

The spelling of 9646560 in words is "nine million, six hundred forty-six thousand, five hundred sixty".