998768200 has 72 divisors (see below), whose sum is σ = 2385609030. Its totient is φ = 388646400.

The previous prime is 998768179. The next prime is 998768213. The reversal of 998768200 is 2867899.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 44328964 + 954439236 = 6658^2 + 30894^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2861626 + ... + 2861974.

Almost surely, 2^998768200 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 998768200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1192804515).

998768200 is an abundant number, since it is smaller than the sum of its proper divisors (1386840830).

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

998768200 is a wasteful number, since it uses less digits than its factorization.

998768200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 49.

The square root of 998768200 is about 31603.2941320996. The cubic root of 998768200 is about 999.5892312922.

It can be divided in two parts, 9987 and 68200, that added together give a palindrome (78187).

The spelling of 998768200 in words is "nine hundred ninety-eight million, seven hundred sixty-eight thousand, two hundred".