98131968 has 168 divisors, whose sum is σ = 311801256. Its totient is φ = 29736960.

The previous prime is 98131951. The next prime is 98131987. The reversal of 98131968 is 86913189.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

Its product of digits (93312) is a multiple of the sum of its prime divisors (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8921083 + ... + 8921093.

Almost surely, 2^98131968 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 98131968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155900628).

98131968 is an abundant number, since it is smaller than the sum of its proper divisors (213669288).

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

98131968 is an equidigital number, since it uses as much as digits as its factorization.

98131968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 16 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The square root of 98131968 is about 9906.1580847471. The cubic root of 98131968 is about 461.2504853808.

It can be divided in two parts, 98131 and 968, that added together give a palindrome (99099).

The spelling of 98131968 in words is "ninety-eight million, one hundred thirty-one thousand, nine hundred sixty-eight".