98383968 has 72 divisors (see below), whose sum is σ = 281100456. Its totient is φ = 32640000.

The previous prime is 98383951. The next prime is 98383973. The reversal of 98383968 is 86938389.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 71608 + ... + 72968.

It is an arithmetic number, because the mean of its divisors is an integer number (3904173).

Almost surely, 2^98383968 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 98383968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140550228).

98383968 is an abundant number, since it is smaller than the sum of its proper divisors (182716488).

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

98383968 is a wasteful number, since it uses less digits than its factorization.

98383968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628 (or 1617 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 98383968 is about 9918.8692903980. The cubic root of 98383968 is about 461.6449737766.

The spelling of 98383968 in words is "ninety-eight million, three hundred eighty-three thousand, nine hundred sixty-eight".