9924642 has 96 divisors (see below), whose sum is σ = 27151488. Its totient is φ = 2550528.

The previous prime is 9924623. The next prime is 9924647. The reversal of 9924642 is 2464299.

9924642 is a `hidden beast` number, since 9 + 9 + 2 + 4 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 9924597 and 9924606.

It is not an unprimeable number, because it can be changed into a prime (9924647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119533 + ... + 119615.

It is an arithmetic number, because the mean of its divisors is an integer number (282828).

Almost surely, 2^9924642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9924642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13575744).

9924642 is an abundant number, since it is smaller than the sum of its proper divisors (17226846).

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

9924642 is a wasteful number, since it uses less digits than its factorization.

9924642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 181 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 9924642 is about 3150.3399816528. The cubic root of 9924642 is about 214.9009242448.

The spelling of 9924642 in words is "nine million, nine hundred twenty-four thousand, six hundred forty-two".