98884800 has 420 divisors, whose sum is σ = 419211760. Its totient is φ = 22394880.

The previous prime is 98884783. The next prime is 98884811. The reversal of 98884800 is 848889.

98884800 is a `hidden beast` number, since 98 + 88 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (420).

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

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 59 ways as a sum of consecutive naturals, for example, 907146 + ... + 907254.

Almost surely, 2^98884800 is an apocalyptic number.

98884800 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 98884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209605880).

98884800 is an abundant number, since it is smaller than the sum of its proper divisors (320326960).

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

98884800 is a wasteful number, since it uses less digits than its factorization.

98884800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 126 counting only the distinct ones).

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

The square root of 98884800 is about 9944.0836681919. The cubic root of 98884800 is about 462.4269960253.

The spelling of 98884800 in words is "ninety-eight million, eight hundred eighty-four thousand, eight hundred".