9732960 has 120 divisors (see below), whose sum is σ = 34394976. Its totient is φ = 2592000.

The previous prime is 9732953. The next prime is 9732967. The reversal of 9732960 is 692379.

It is an interprime number because it is at equal distance from previous prime (9732953) and next prime (9732967).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9732967) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12585 + ... + 13335.

Almost surely, 2^9732960 is an apocalyptic number.

9732960 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 9732960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17197488).

9732960 is an abundant number, since it is smaller than the sum of its proper divisors (24662016).

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

9732960 is a wasteful number, since it uses less digits than its factorization.

9732960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 9732960 is about 3119.7692222342. The cubic root of 9732960 is about 213.5084066329.

The spelling of 9732960 in words is "nine million, seven hundred thirty-two thousand, nine hundred sixty".