98004816 has 240 divisors, whose sum is σ = 351338624. Its totient is φ = 25754112.

The previous prime is 98004799. The next prime is 98004839. The reversal of 98004816 is 61840089.

It is a happy number.

It is a super-3 number, since 3×98004816³ (a number of 25 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 353670 + ... + 353946.

Almost surely, 2^98004816 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 98004816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175669312).

98004816 is an abundant number, since it is smaller than the sum of its proper divisors (253333808).

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

98004816 is a wasteful number, since it uses less digits than its factorization.

98004816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 98004816 is about 9899.7381783560. The cubic root of 98004816 is about 461.0511814159.

The spelling of 98004816 in words is "ninety-eight million, four thousand, eight hundred sixteen".