9129240 has 128 divisors (see below), whose sum is σ = 31104000. Its totient is φ = 2381184.

The previous prime is 9129203. The next prime is 9129257. The reversal of 9129240 is 429219.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85267 + ... + 85373.

It is an arithmetic number, because the mean of its divisors is an integer number (243000).

Almost surely, 2^9129240 is an apocalyptic number.

9129240 is a gapful number since it is divisible by the number (90) 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 9129240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15552000).

9129240 is an abundant number, since it is smaller than the sum of its proper divisors (21974760).

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

9129240 is a wasteful number, since it uses less digits than its factorization.

9129240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 9129240 is about 3021.4632216858. The cubic root of 9129240 is about 208.9993208314. Note that the first 3 decimals are identical.

The spelling of 9129240 in words is "nine million, one hundred twenty-nine thousand, two hundred forty".