98364672 has 288 divisors, whose sum is σ = 353203200. Its totient is φ = 26376192.

The previous prime is 98364659. The next prime is 98364683. The reversal of 98364672 is 27646389.

It is a tau number, because it is divible by the number of its divisors (288).

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 31 ways as a sum of consecutive naturals, for example, 919243 + ... + 919349.

It is an arithmetic number, because the mean of its divisors is an integer number (1226400).

Almost surely, 2^98364672 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 98364672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176601600).

98364672 is an abundant number, since it is smaller than the sum of its proper divisors (254838528).

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

98364672 is a wasteful number, since it uses less digits than its factorization.

98364672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 138 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 98364672 is about 9917.8965511846. The cubic root of 98364672 is about 461.6147910682.

The spelling of 98364672 in words is "ninety-eight million, three hundred sixty-four thousand, six hundred seventy-two".