9958944 has 48 divisors (see below), whose sum is σ = 26314848. Its totient is φ = 3297792.

The previous prime is 9958939. The next prime is 9958961. The reversal of 9958944 is 4498599.

9958944 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 9958893 and 9958902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21564 + ... + 22020.

It is an arithmetic number, because the mean of its divisors is an integer number (548226).

Almost surely, 2^9958944 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 9958944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13157424).

9958944 is an abundant number, since it is smaller than the sum of its proper divisors (16355904).

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

9958944 is a wasteful number, since it uses less digits than its factorization.

9958944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 689 counting only the distinct ones).

The product of its digits is 466560, while the sum is 48.

The square root of 9958944 is about 3155.7794599750. The cubic root of 9958944 is about 215.1482230110.

The spelling of 9958944 in words is "nine million, nine hundred fifty-eight thousand, nine hundred forty-four".