98066400 has 144 divisors (see below), whose sum is σ = 330447600. Its totient is φ = 25231360.

The previous prime is 98066399. The next prime is 98066401. The reversal of 98066400 is 466089.

It is an interprime number because it is at equal distance from previous prime (98066399) and next prime (98066401).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98066401) 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, 68896 + ... + 70304.

It is an arithmetic number, because the mean of its divisors is an integer number (2294775).

Almost surely, 2^98066400 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 98066400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165223800).

98066400 is an abundant number, since it is smaller than the sum of its proper divisors (232381200).

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

98066400 is a wasteful number, since it uses less digits than its factorization.

98066400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461 (or 1448 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 98066400 is about 9902.8480751751. The cubic root of 98066400 is about 461.1477325581.

The spelling of 98066400 in words is "ninety-eight million, sixty-six thousand, four hundred".