98112000 has 320 divisors, whose sum is σ = 377904384. Its totient is φ = 22118400.

The previous prime is 98111987. The next prime is 98112013. The reversal of 98112000 is 21189.

It is an interprime number because it is at equal distance from previous prime (98111987) and next prime (98112013).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1343964 + ... + 1344036.

Almost surely, 2^98112000 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 98112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188952192).

98112000 is an abundant number, since it is smaller than the sum of its proper divisors (279792384).

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

98112000 is an equidigital number, since it uses as much as digits as its factorization.

98112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 98112000 is about 9905.1501755400. The cubic root of 98112000 is about 461.2191980077.

Adding to 98112000 its reverse (21189), we get a palindrome (98133189).

It can be divided in two parts, 9811 and 2000, that added together give a palindrome (11811).

The spelling of 98112000 in words is "ninety-eight million, one hundred twelve thousand".