998336160 has 288 divisors, whose sum is σ = 3642807168. Its totient is φ = 248371200.

The previous prime is 998336159. The next prime is 998336173. The reversal of 998336160 is 61633899.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1423810 + ... + 1424510.

It is an arithmetic number, because the mean of its divisors is an integer number (12648636).

Almost surely, 2^998336160 is an apocalyptic number.

998336160 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 998336160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821403584).

998336160 is an abundant number, since it is smaller than the sum of its proper divisors (2644471008).

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

998336160 is a wasteful number, since it uses less digits than its factorization.

998336160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 998336160 is about 31596.4580293425. The cubic root of 998336160 is about 999.4450787861.

The spelling of 998336160 in words is "nine hundred ninety-eight million, three hundred thirty-six thousand, one hundred sixty".