9929040 has 80 divisors (see below), whose sum is σ = 33587136. Its totient is φ = 2406400.

The previous prime is 9929009. The next prime is 9929047. The reversal of 9929040 is 409299.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 9928992 and 9929010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9929047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 760 + ... + 4520.

Almost surely, 2^9929040 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 9929040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16793568).

9929040 is an abundant number, since it is smaller than the sum of its proper divisors (23658096).

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

9929040 is a wasteful number, since it uses less digits than its factorization.

9929040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3788 (or 3782 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 9929040 is about 3151.0379242402. The cubic root of 9929040 is about 214.9326632466.

The spelling of 9929040 in words is "nine million, nine hundred twenty-nine thousand, forty".