9133840 has 80 divisors (see below), whose sum is σ = 22855680. Its totient is φ = 3386880.

The previous prime is 9133837. The next prime is 9133847. The reversal of 9133840 is 483319.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 9133799 and 9133808.

It is not an unprimeable number, because it can be changed into a prime (9133847) 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 15 ways as a sum of consecutive naturals, for example, 71857 + ... + 71983.

It is an arithmetic number, because the mean of its divisors is an integer number (285696).

Almost surely, 2^9133840 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 9133840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11427840).

9133840 is an abundant number, since it is smaller than the sum of its proper divisors (13721840).

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

9133840 is a wasteful number, since it uses less digits than its factorization.

9133840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 9133840 is about 3022.2243464045. The cubic root of 9133840 is about 209.0344181468.

It can be divided in two parts, 91338 and 40, that added together give a triangular number (91378 = T₄₂₇).

The spelling of 9133840 in words is "nine million, one hundred thirty-three thousand, eight hundred forty".