9753408 has 168 divisors, whose sum is σ = 33284160. Its totient is φ = 2672640.

The previous prime is 9753383. The next prime is 9753409. The reversal of 9753408 is 8043579.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×9753408² = 190257935228928, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9753409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165283 + ... + 165341.

It is an arithmetic number, because the mean of its divisors is an integer number (198120).

Almost surely, 2^9753408 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 9753408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16642080).

9753408 is an abundant number, since it is smaller than the sum of its proper divisors (23530752).

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

9753408 is a wasteful number, since it uses less digits than its factorization.

9753408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 9753408 is about 3123.0446682685. The cubic root of 9753408 is about 213.6578221610.

The spelling of 9753408 in words is "nine million, seven hundred fifty-three thousand, four hundred eight".