98404416 has 224 divisors, whose sum is σ = 327720960. Its totient is φ = 28684800.

The previous prime is 98404409. The next prime is 98404429. The reversal of 98404416 is 61440489.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 589165 + ... + 589331.

It is an arithmetic number, because the mean of its divisors is an integer number (1463040).

Almost surely, 2^98404416 is an apocalyptic number.

98404416 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98404416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163860480).

98404416 is an abundant number, since it is smaller than the sum of its proper divisors (229316544).

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

98404416 is a wasteful number, since it uses less digits than its factorization.

98404416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 98404416 is about 9919.8999994960. The cubic root of 98404416 is about 461.6769541311.

The spelling of 98404416 in words is "ninety-eight million, four hundred four thousand, four hundred sixteen".