9998968 has 64 divisors (see below), whose sum is σ = 22809600. Its totient is φ = 4018560.

The previous prime is 9998929. The next prime is 9998969. The reversal of 9998968 is 8698999.

It is a super-2 number, since 2×9998968² = 199958722130048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (58).

Its product of digits (2519424) is a multiple of the sum of its prime divisors (216).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9998969) 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, 76263 + ... + 76393.

It is an arithmetic number, because the mean of its divisors is an integer number (356400).

Almost surely, 2^9998968 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 9998968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11404800).

9998968 is an abundant number, since it is smaller than the sum of its proper divisors (12810632).

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

9998968 is a wasteful number, since it uses less digits than its factorization.

9998968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 216 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 58.

The square root of 9998968 is about 3162.1144824310. The cubic root of 9998968 is about 215.4360574929.

The spelling of 9998968 in words is "nine million, nine hundred ninety-eight thousand, nine hundred sixty-eight".