9144096 has 96 divisors (see below), whose sum is σ = 27433728. Its totient is φ = 2641920.

The previous prime is 9144067. The next prime is 9144131. The reversal of 9144096 is 6904419.

9144096 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×9144096² = 167228983314432, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21001 + ... + 21431.

It is an arithmetic number, because the mean of its divisors is an integer number (285768).

Almost surely, 2^9144096 is an apocalyptic number.

9144096 is a gapful number since it is divisible by the number (96) 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 9144096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13716864).

9144096 is an abundant number, since it is smaller than the sum of its proper divisors (18289632).

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

9144096 is a wasteful number, since it uses less digits than its factorization.

9144096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 9144096 is about 3023.9206338791. The cubic root of 9144096 is about 209.1126274971.

The spelling of 9144096 in words is "nine million, one hundred forty-four thousand, ninety-six".