998208000 has 240 divisors, whose sum is σ = 3597432696. Its totient is φ = 266035200.

The previous prime is 998207971. The next prime is 998208047. The reversal of 998208000 is 802899.

It can be written as a sum of positive squares in 4 ways, for example, as 267911424 + 730296576 = 16368^2 + 27024^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×998208000² = 1992838422528000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 575134 + ... + 576866.

Almost surely, 2^998208000 is an apocalyptic number.

998208000 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 998208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1798716348).

998208000 is an abundant number, since it is smaller than the sum of its proper divisors (2599224696).

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

998208000 is a wasteful number, since it uses less digits than its factorization.

998208000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1772 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 998208000 is about 31594.4298888269. The cubic root of 998208000 is about 999.4023095039.

The spelling of 998208000 in words is "nine hundred ninety-eight million, two hundred eight thousand".