98848800 has 108 divisors (see below), whose sum is σ = 348590970. Its totient is φ = 26357760.

The previous prime is 98848769. The next prime is 98848817. The reversal of 98848800 is 884889.

It can be written as a sum of positive squares in 3 ways, for example, as 67174416 + 31674384 = 8196^2 + 5628^2 .

It is a super-2 number, since 2×98848800² = 19542170522880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 336 + ... + 14064.

Almost surely, 2^98848800 is an apocalyptic number.

98848800 is a gapful number since it is divisible by the number (90) 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 98848800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174295485).

98848800 is an abundant number, since it is smaller than the sum of its proper divisors (249742170).

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

98848800 is a wasteful number, since it uses less digits than its factorization.

98848800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13755 (or 13739 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 98848800 is about 9942.2733818780. The cubic root of 98848800 is about 462.3708721570.

The spelling of 98848800 in words is "ninety-eight million, eight hundred forty-eight thousand, eight hundred".