998001000 has 336 divisors, whose sum is σ = 3598571340. Its totient is φ = 258940800.

The previous prime is 998000999. The next prime is 998001019. The reversal of 998001000 is 100899.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 351112644 + 646888356 = 18738^2 + 25434^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 26972982 + ... + 26973018.

Almost surely, 2^998001000 is an apocalyptic number.

998001000 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 998001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1799285670).

998001000 is an abundant number, since it is smaller than the sum of its proper divisors (2600570340).

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

998001000 is an equidigital number, since it uses as much as digits as its factorization.

998001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 998001000 is about 31591.1538250821. The cubic root of 998001000 is about 999.3332221728. Note that the first 3 decimals are identical.

Adding to 998001000 its reverse (100899), we get a palindrome (998101899).

The spelling of 998001000 in words is "nine hundred ninety-eight million, one thousand".