9864960 has 144 divisors (see below), whose sum is σ = 36105216. Its totient is φ = 2248704.

The previous prime is 9864949. The next prime is 9864983. The reversal of 9864960 is 694689.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26697 + ... + 27063.

Almost surely, 2^9864960 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 9864960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18052608).

9864960 is an abundant number, since it is smaller than the sum of its proper divisors (26240256).

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

9864960 is a wasteful number, since it uses less digits than its factorization.

9864960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 384 counting only the distinct ones).

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

The square root of 9864960 is about 3140.8533872182. The cubic root of 9864960 is about 214.4692877714.

The spelling of 9864960 in words is "nine million, eight hundred sixty-four thousand, nine hundred sixty".