9638400 has 120 divisors (see below), whose sum is σ = 31966704. Its totient is φ = 2560000.

The previous prime is 9638393. The next prime is 9638401. The reversal of 9638400 is 48369.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (9638401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38275 + ... + 38525.

Almost surely, 2^9638400 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 9638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15983352).

9638400 is an abundant number, since it is smaller than the sum of its proper divisors (22328304).

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

9638400 is a wasteful number, since it uses less digits than its factorization.

9638400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 9638400 is about 3104.5772659092. The cubic root of 9638400 is about 212.8147124582.

It can be divided in two parts, 96 and 38400, that multiplied together give a square (3686400 = 1920²).

The spelling of 9638400 in words is "nine million, six hundred thirty-eight thousand, four hundred".