98940816 has 120 divisors (see below), whose sum is σ = 315839160. Its totient is φ = 28643328.

The previous prime is 98940811. The next prime is 98940823. The reversal of 98940816 is 61804989.

It can be written as a sum of positive squares in 4 ways, for example, as 2822400 + 96118416 = 1680^2 + 9804^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98940811) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30270 + ... + 33378.

It is an arithmetic number, because the mean of its divisors is an integer number (2631993).

Almost surely, 2^98940816 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 98940816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157919580).

98940816 is an abundant number, since it is smaller than the sum of its proper divisors (216898344).

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

98940816 is a wasteful number, since it uses less digits than its factorization.

98940816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3153 (or 3144 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 98940816 is about 9946.8998185364. The cubic root of 98940816 is about 462.5142976832.

The spelling of 98940816 in words is "ninety-eight million, nine hundred forty thousand, eight hundred sixteen".