98950272 has 64 divisors (see below), whose sum is σ = 265036800. Its totient is φ = 32707584.

The previous prime is 98950253. The next prime is 98950333. The reversal of 98950272 is 27205989.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 47754 + ... + 49782.

It is an arithmetic number, because the mean of its divisors is an integer number (4141200).

Almost surely, 2^98950272 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 98950272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132518400).

98950272 is an abundant number, since it is smaller than the sum of its proper divisors (166086528).

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

98950272 is a wasteful number, since it uses less digits than its factorization.

98950272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2173 (or 2161 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 98950272 is about 9947.3751311590. The cubic root of 98950272 is about 462.5290317301.

The spelling of 98950272 in words is "ninety-eight million, nine hundred fifty thousand, two hundred seventy-two".