98348800 has 162 divisors, whose sum is σ = 269677184. Its totient is φ = 35481600.

The previous prime is 98348753. The next prime is 98348813. The reversal of 98348800 is 884389.

It is a super-2 number, since 2×98348800² = 19344972922880000, which contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 774337 + ... + 774463.

Almost surely, 2^98348800 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 98348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134838592).

98348800 is an abundant number, since it is smaller than the sum of its proper divisors (171328384).

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

98348800 is a wasteful number, since it uses less digits than its factorization.

98348800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 98348800 is about 9917.0963492345. The cubic root of 98348800 is about 461.5899612049.

The spelling of 98348800 in words is "ninety-eight million, three hundred forty-eight thousand, eight hundred".