9361824 has 48 divisors (see below), whose sum is σ = 24820992. Its totient is φ = 3089408.

The previous prime is 9361823. The next prime is 9361829. The reversal of 9361824 is 4281639.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (9361823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10417 + ... + 11279.

It is an arithmetic number, because the mean of its divisors is an integer number (517104).

Almost surely, 2^9361824 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 9361824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12410496).

9361824 is an abundant number, since it is smaller than the sum of its proper divisors (15459168).

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

9361824 is a wasteful number, since it uses less digits than its factorization.

9361824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 981 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 9361824 is about 3059.7097901598. The cubic root of 9361824 is about 210.7593371777.

The spelling of 9361824 in words is "nine million, three hundred sixty-one thousand, eight hundred twenty-four".