98880768 has 108 divisors (see below), whose sum is σ = 325879008. Its totient is φ = 28247040.

The previous prime is 98880713. The next prime is 98880781. The reversal of 98880768 is 86708889.

It is a super-3 number, since 3×98880768³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13063 + ... + 19193.

Almost surely, 2^98880768 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 98880768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162939504).

98880768 is an abundant number, since it is smaller than the sum of its proper divisors (226998240).

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

98880768 is a wasteful number, since it uses less digits than its factorization.

98880768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6160 (or 6143 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The square root of 98880768 is about 9943.8809325132. The cubic root of 98880768 is about 462.4207108295.

The spelling of 98880768 in words is "ninety-eight million, eight hundred eighty thousand, seven hundred sixty-eight".