9953360 has 40 divisors (see below), whose sum is σ = 23436000. Its totient is φ = 3930752.

The previous prime is 9953341. The next prime is 9953369. The reversal of 9953360 is 633599.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 9953360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9953369) 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, 5891 + ... + 7389.

It is an arithmetic number, because the mean of its divisors is an integer number (585900).

Almost surely, 2^9953360 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 9953360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11718000).

9953360 is an abundant number, since it is smaller than the sum of its proper divisors (13482640).

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

9953360 is a wasteful number, since it uses less digits than its factorization.

9953360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1595 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 35.

The square root of 9953360 is about 3154.8946099672. The cubic root of 9953360 is about 215.1080041455.

The spelling of 9953360 in words is "nine million, nine hundred fifty-three thousand, three hundred sixty".