98978112 has 140 divisors (see below), whose sum is σ = 299164756. Its totient is φ = 32348160.

The previous prime is 98978069. The next prime is 98978123. The reversal of 98978112 is 21187989.

It can be written as a sum of positive squares in 2 ways, for example, as 1679616 + 97298496 = 1296^2 + 9864^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 316068 + ... + 316380.

Almost surely, 2^98978112 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 98978112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149582378).

98978112 is an abundant number, since it is smaller than the sum of its proper divisors (200186644).

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

98978112 is a wasteful number, since it uses less digits than its factorization.

98978112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 379 counting only the distinct ones).

The product of its digits is 72576, while the sum is 45.

The square root of 98978112 is about 9948.7743968792. The cubic root of 98978112 is about 462.5724057082.

The spelling of 98978112 in words is "ninety-eight million, nine hundred seventy-eight thousand, one hundred twelve".