9958080 has 224 divisors, whose sum is σ = 36868608. Its totient is φ = 2252800.

The previous prime is 9958063. The next prime is 9958087. The reversal of 9958080 is 808599.

9958080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (9958087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 242860 + ... + 242900.

It is an arithmetic number, because the mean of its divisors is an integer number (164592).

Almost surely, 2^9958080 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 9958080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18434304).

9958080 is an abundant number, since it is smaller than the sum of its proper divisors (26910528).

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

9958080 is a wasteful number, since it uses less digits than its factorization.

9958080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 39.

The square root of 9958080 is about 3155.6425653106. The cubic root of 9958080 is about 215.1420010180.

The spelling of 9958080 in words is "nine million, nine hundred fifty-eight thousand, eighty".