998897760 has 288 divisors, whose sum is σ = 3992369472. Its totient is φ = 222658560.

The previous prime is 998897743. The next prime is 998897761. The reversal of 998897760 is 67798899.

998897760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (998897761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 412072 + ... + 414488.

It is an arithmetic number, because the mean of its divisors is an integer number (13862394).

Almost surely, 2^998897760 is an apocalyptic number.

998897760 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 998897760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1996184736).

998897760 is an abundant number, since it is smaller than the sum of its proper divisors (2993471712).

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

998897760 is a wasteful number, since it uses less digits than its factorization.

998897760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2486 (or 2475 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 63.

The square root of 998897760 is about 31605.3438519501. The cubic root of 998897760 is about 999.6324515914.

The spelling of 998897760 in words is "nine hundred ninety-eight million, eight hundred ninety-seven thousand, seven hundred sixty".