98817120 has 144 divisors (see below), whose sum is σ = 340088112. Its totient is φ = 26127360.

The previous prime is 98817109. The next prime is 98817127. The reversal of 98817120 is 2171889.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98817127) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 234510 + ... + 234930.

It is an arithmetic number, because the mean of its divisors is an integer number (2361723).

Almost surely, 2^98817120 is an apocalyptic number.

98817120 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 98817120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170044056).

98817120 is an abundant number, since it is smaller than the sum of its proper divisors (241270992).

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

98817120 is a wasteful number, since it uses less digits than its factorization.

98817120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 98817120 is about 9940.6800572194. The cubic root of 98817120 is about 462.3214718798.

The spelling of 98817120 in words is "ninety-eight million, eight hundred seventeen thousand, one hundred twenty".