98872200 has 432 divisors, whose sum is σ = 413478000. Its totient is φ = 21047040.

The previous prime is 98872157. The next prime is 98872211. The reversal of 98872200 is 227889.

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 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 107 ways as a sum of consecutive naturals, for example, 1675771 + ... + 1675829.

It is an arithmetic number, because the mean of its divisors is an integer number (957125).

Almost surely, 2^98872200 is an apocalyptic number.

98872200 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 98872200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206739000).

98872200 is an abundant number, since it is smaller than the sum of its proper divisors (314605800).

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

98872200 is a wasteful number, since it uses less digits than its factorization.

98872200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 98872200 is about 9943.4501054714. The cubic root of 98872200 is about 462.4073542211.

The spelling of 98872200 in words is "ninety-eight million, eight hundred seventy-two thousand, two hundred".