98971280 has 80 divisors (see below), whose sum is σ = 247845744. Its totient is φ = 36618240.

The previous prime is 98971273. The next prime is 98971303. The reversal of 98971280 is 8217989.

It can be written as a sum of positive squares in 8 ways, for example, as 4648336 + 94322944 = 2156^2 + 9712^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 82364 + ... + 83556.

Almost surely, 2^98971280 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 98971280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123922872).

98971280 is an abundant number, since it is smaller than the sum of its proper divisors (148874464).

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

98971280 is a wasteful number, since it uses less digits than its factorization.

98971280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 44.

The square root of 98971280 is about 9948.4310320774. The cubic root of 98971280 is about 462.5617623874.

The spelling of 98971280 in words is "ninety-eight million, nine hundred seventy-one thousand, two hundred eighty".