9964000 has 96 divisors (see below), whose sum is σ = 25474176. Its totient is φ = 3827200.

The previous prime is 9963997. The next prime is 9964007. The reversal of 9964000 is 4699.

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 9964000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9964007) 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, 187974 + ... + 188026.

It is an arithmetic number, because the mean of its divisors is an integer number (265356).

Almost surely, 2^9964000 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 9964000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12737088).

9964000 is an abundant number, since it is smaller than the sum of its proper divisors (15510176).

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

9964000 is a wasteful number, since it uses less digits than its factorization.

9964000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 9964000 is about 3156.5804282483. The cubic root of 9964000 is about 215.1846259798.

Adding to 9964000 its reverse (4699), we get a palindrome (9968699).

The spelling of 9964000 in words is "nine million, nine hundred sixty-four thousand".