98508672 has 96 divisors (see below), whose sum is σ = 285461280. Its totient is φ = 32606208.

The previous prime is 98508667. The next prime is 98508677. The reversal of 98508672 is 27680589.

It is an interprime number because it is at equal distance from previous prime (98508667) and next prime (98508677).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98508677) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 268233 + ... + 268599.

It is an arithmetic number, because the mean of its divisors is an integer number (2973555).

Almost surely, 2^98508672 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 98508672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142730640).

98508672 is an abundant number, since it is smaller than the sum of its proper divisors (186952608).

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

98508672 is a wasteful number, since it uses less digits than its factorization.

98508672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 98508672 is about 9925.1535000724. The cubic root of 98508672 is about 461.8399400560.

The spelling of 98508672 in words is "ninety-eight million, five hundred eight thousand, six hundred seventy-two".