9642960 has 120 divisors (see below), whose sum is σ = 33078240. Its totient is φ = 2516736.

The previous prime is 9642949. The next prime is 9642967. The reversal of 9642960 is 692469.

9642960 is a `hidden beast` number, since 9 + 642 + 9 + 6 + 0 = 666.

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 (9642967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42367 + ... + 42593.

It is an arithmetic number, because the mean of its divisors is an integer number (275652).

Almost surely, 2^9642960 is an apocalyptic number.

9642960 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 9642960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16539120).

9642960 is an abundant number, since it is smaller than the sum of its proper divisors (23435280).

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

9642960 is a wasteful number, since it uses less digits than its factorization.

9642960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 9642960 is about 3105.3115785699. The cubic root of 9642960 is about 212.8482685840.

The spelling of 9642960 in words is "nine million, six hundred forty-two thousand, nine hundred sixty".