98920800 has 216 divisors, whose sum is σ = 380835000. Its totient is φ = 23961600.

The previous prime is 98920781. The next prime is 98920817. The reversal of 98920800 is 802989.

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

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 78576 + ... + 79824.

It is an arithmetic number, because the mean of its divisors is an integer number (1763125).

Almost surely, 2^98920800 is an apocalyptic number.

98920800 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 98920800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190417500).

98920800 is an abundant number, since it is smaller than the sum of its proper divisors (281914200).

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

98920800 is a wasteful number, since it uses less digits than its factorization.

98920800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 98920800 is about 9945.8936250093. The cubic root of 98920800 is about 462.4831062736.

The spelling of 98920800 in words is "ninety-eight million, nine hundred twenty thousand, eight hundred".