998753600 has 84 divisors (see below), whose sum is σ = 2646656124. Its totient is φ = 368762880.

The previous prime is 998753599. The next prime is 998753603. The reversal of 998753600 is 6357899.

It can be written as a sum of positive squares in 6 ways, for example, as 245360896 + 753392704 = 15664^2 + 27448^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (998753603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3209 + ... + 44808.

It is an arithmetic number, because the mean of its divisors is an integer number (31507811).

Almost surely, 2^998753600 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 998753600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323328062).

998753600 is an abundant number, since it is smaller than the sum of its proper divisors (1647902524).

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

998753600 is a wasteful number, since it uses less digits than its factorization.

998753600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48052 (or 48037 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 47.

The square root of 998753600 is about 31603.0631426765. The cubic root of 998753600 is about 999.5843606012.

The spelling of 998753600 in words is "nine hundred ninety-eight million, seven hundred fifty-three thousand, six hundred".