98809200 has 240 divisors, whose sum is σ = 402236160. Its totient is φ = 22567680.

The previous prime is 98809199. The next prime is 98809211. The reversal of 98809200 is 290889.

It is a tau number, because it is divible by the number of its divisors (240).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74947 + ... + 76253.

It is an arithmetic number, because the mean of its divisors is an integer number (1675984).

Almost surely, 2^98809200 is an apocalyptic number.

98809200 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 98809200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201118080).

98809200 is an abundant number, since it is smaller than the sum of its proper divisors (303426960).

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

98809200 is a wasteful number, since it uses less digits than its factorization.

98809200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341 (or 1324 counting only the distinct ones).

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

The square root of 98809200 is about 9940.2816861495. The cubic root of 98809200 is about 462.3091201609.

The spelling of 98809200 in words is "ninety-eight million, eight hundred nine thousand, two hundred".