9992480 has 72 divisors (see below), whose sum is σ = 25059132. Its totient is φ = 3764736.

The previous prime is 9992449. The next prime is 9992483. The reversal of 9992480 is 842999.

It can be written as a sum of positive squares in 2 ways, for example, as 9709456 + 283024 = 3116^2 + 532^2 .

It is not an unprimeable number, because it can be changed into a prime (9992483) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57674 + ... + 57846.

Almost surely, 2^9992480 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 9992480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12529566).

9992480 is an abundant number, since it is smaller than the sum of its proper divisors (15066652).

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

9992480 is a wasteful number, since it uses less digits than its factorization.

9992480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 41.

The square root of 9992480 is about 3161.0884201490. The cubic root of 9992480 is about 215.3894509642.

The spelling of 9992480 in words is "nine million, nine hundred ninety-two thousand, four hundred eighty".