9147264 has 128 divisors (see below), whose sum is σ = 28788480. Its totient is φ = 2519040.

The previous prime is 9147253. The next prime is 9147283. The reversal of 9147264 is 4627419.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 110167 + ... + 110249.

It is an arithmetic number, because the mean of its divisors is an integer number (224910).

Almost surely, 2^9147264 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 9147264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14394240).

9147264 is an abundant number, since it is smaller than the sum of its proper divisors (19641216).

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

9147264 is a wasteful number, since it uses less digits than its factorization.

9147264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 136 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 9147264 is about 3024.4444117887. Note that the first 4 decimals coincide. The cubic root of 9147264 is about 209.1367739451.

The spelling of 9147264 in words is "nine million, one hundred forty-seven thousand, two hundred sixty-four".