9964960 has 48 divisors (see below), whose sum is σ = 23951592. Its totient is φ = 3916800.

The previous prime is 9964939. The next prime is 9964961. The reversal of 9964960 is 694699.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5588496 + 4376464 = 2364^2 + 2092^2 .

It is not an unprimeable number, because it can be changed into a prime (9964961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9250 + ... + 10270.

Almost surely, 2^9964960 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 9964960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11975796).

9964960 is an abundant number, since it is smaller than the sum of its proper divisors (13986632).

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

9964960 is a wasteful number, since it uses less digits than its factorization.

9964960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 43.

The square root of 9964960 is about 3156.7324878741. The cubic root of 9964960 is about 215.1915365448.

The spelling of 9964960 in words is "nine million, nine hundred sixty-four thousand, nine hundred sixty".