998418960 has 960 divisors, whose sum is σ = 4679700480. Its totient is φ = 191600640.

The previous prime is 998418947. The next prime is 998418977. The reversal of 998418960 is 69814899.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 998418897 and 998418906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 34428226 + ... + 34428254.

It is an arithmetic number, because the mean of its divisors is an integer number (4874688).

Almost surely, 2^998418960 is an apocalyptic number.

998418960 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 998418960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2339850240).

998418960 is an abundant number, since it is smaller than the sum of its proper divisors (3681281520).

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

998418960 is a wasteful number, since it uses less digits than its factorization.

998418960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The square root of 998418960 is about 31597.7682756235. The cubic root of 998418960 is about 999.4727086794.

It can be divided in two parts, 99841 and 8960, that added together give a palindrome (108801).

The spelling of 998418960 in words is "nine hundred ninety-eight million, four hundred eighteen thousand, nine hundred sixty".