98853300 has 432 divisors, whose sum is σ = 409473792. Its totient is φ = 19353600.

The previous prime is 98853281. The next prime is 98853301. The reversal of 98853300 is 335889.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98853301) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 1392265 + ... + 1392335.

It is an arithmetic number, because the mean of its divisors is an integer number (947856).

Almost surely, 2^98853300 is an apocalyptic number.

98853300 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 98853300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204736896).

98853300 is an abundant number, since it is smaller than the sum of its proper divisors (310620492).

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

98853300 is a wasteful number, since it uses less digits than its factorization.

98853300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 98853300 is about 9942.4996856927. The cubic root of 98853300 is about 462.3778883856.

The spelling of 98853300 in words is "ninety-eight million, eight hundred fifty-three thousand, three hundred".