998688 has 48 divisors (see below), whose sum is σ = 2673216. Its totient is φ = 326400.

The previous prime is 998687. The next prime is 998689. The reversal of 998688 is 886899.

998688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (998687) and next prime (998689).

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 an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 998688.

It is not an unprimeable number, because it can be changed into a prime (998681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9645 + ... + 9747.

It is an arithmetic number, because the mean of its divisors is an integer number (55692).

2⁹⁹⁸⁶⁸⁸ 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 998688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336608).

998688 is an abundant number, since it is smaller than the sum of its proper divisors (1674528).

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

998688 is a wasteful number, since it uses less digits than its factorization.

998688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 209 counting only the distinct ones).

The product of its digits is 248832, while the sum is 48.

The square root of 998688 is about 999.3437846907. The cubic root of 998688 is about 99.9562475267.

The spelling of 998688 in words is "nine hundred ninety-eight thousand, six hundred eighty-eight".