98768384 has 160 divisors (see below), whose sum is σ = 247484160. Its totient is φ = 38707200.

The previous prime is 98768359. The next prime is 98768401. The reversal of 98768384 is 48386789.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1391069 + ... + 1391139.

It is an arithmetic number, because the mean of its divisors is an integer number (1546776).

Almost surely, 2^98768384 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 98768384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123742080).

98768384 is an abundant number, since it is smaller than the sum of its proper divisors (148715776).

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

98768384 is a wasteful number, since it uses less digits than its factorization.

98768384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 116 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 53.

The square root of 98768384 is about 9938.2284135554. The cubic root of 98768384 is about 462.2454546727.

The spelling of 98768384 in words is "ninety-eight million, seven hundred sixty-eight thousand, three hundred eighty-four".