9258336 has 144 divisors (see below), whose sum is σ = 29248128. Its totient is φ = 2764800.

The previous prime is 9258299. The next prime is 9258341. The reversal of 9258336 is 6338529.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 9258336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151746 + ... + 151806.

It is an arithmetic number, because the mean of its divisors is an integer number (203112).

Almost surely, 2^9258336 is an apocalyptic number.

9258336 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 9258336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14624064).

9258336 is an abundant number, since it is smaller than the sum of its proper divisors (19989792).

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

9258336 is a wasteful number, since it uses less digits than its factorization.

9258336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 114 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 9258336 is about 3042.7513864922. The cubic root of 9258336 is about 209.9798620145.

It can be divided in two parts, 925 and 8336, that added together give a cube (9261 = 21³).

The spelling of 9258336 in words is "nine million, two hundred fifty-eight thousand, three hundred thirty-six".