9960864 has 96 divisors (see below), whose sum is σ = 28385280. Its totient is φ = 3048192.

The previous prime is 9960787. The next prime is 9960869. The reversal of 9960864 is 4680699.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (9960869) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78369 + ... + 78495.

It is an arithmetic number, because the mean of its divisors is an integer number (295680).

Almost surely, 2^9960864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9960864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14192640).

9960864 is an abundant number, since it is smaller than the sum of its proper divisors (18424416).

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

9960864 is a wasteful number, since it uses less digits than its factorization.

9960864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 9960864 is about 3156.0836490816. The cubic root of 9960864 is about 215.1620483739.

The spelling of 9960864 in words is "nine million, nine hundred sixty thousand, eight hundred sixty-four".