9968400 has 240 divisors, whose sum is σ = 38747520. Its totient is φ = 2419200.

The previous prime is 9968381. The next prime is 9968411. The reversal of 9968400 is 48699.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140365 + ... + 140435.

It is an arithmetic number, because the mean of its divisors is an integer number (161448).

Almost surely, 2^9968400 is an apocalyptic number.

9968400 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 9968400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19373760).

9968400 is an abundant number, since it is smaller than the sum of its proper divisors (28779120).

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

9968400 is a wasteful number, since it uses less digits than its factorization.

9968400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 9968400 is about 3157.2773080615. The cubic root of 9968400 is about 215.2162957584.

The spelling of 9968400 in words is "nine million, nine hundred sixty-eight thousand, four hundred".