9126624 has 96 divisors (see below), whose sum is σ = 26417664. Its totient is φ = 2741760.

The previous prime is 9126613. The next prime is 9126643. The reversal of 9126624 is 4266219.

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

Its product of digits (5184) is a multiple of the sum of its prime divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 9126591 and 9126600.

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, 88557 + ... + 88659.

It is an arithmetic number, because the mean of its divisors is an integer number (275184).

Almost surely, 2^9126624 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 9126624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13208832).

9126624 is an abundant number, since it is smaller than the sum of its proper divisors (17291040).

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

9126624 is a wasteful number, since it uses less digits than its factorization.

9126624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 192 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 9126624 is about 3021.0302878323. The cubic root of 9126624 is about 208.9793558816.

The spelling of 9126624 in words is "nine million, one hundred twenty-six thousand, six hundred twenty-four".