9965088 has 72 divisors (see below), whose sum is σ = 32393088. Its totient is φ = 2846592.

The previous prime is 9965083. The next prime is 9965089. The reversal of 9965088 is 8805699.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (9965083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 456 + ... + 4487.

It is an arithmetic number, because the mean of its divisors is an integer number (449904).

Almost surely, 2^9965088 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 9965088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16196544).

9965088 is an abundant number, since it is smaller than the sum of its proper divisors (22428000).

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

9965088 is a wasteful number, since it uses less digits than its factorization.

9965088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4966 (or 4955 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 9965088 is about 3156.7527619375. The cubic root of 9965088 is about 215.1924579199.

It can be divided in two parts, 996 and 5088, that added together give a square (6084 = 78²).

The spelling of 9965088 in words is "nine million, nine hundred sixty-five thousand, eighty-eight".