98029800 has 144 divisors (see below), whose sum is σ = 359218080. Its totient is φ = 23760000.

The previous prime is 98029793. The next prime is 98029817. The reversal of 98029800 is 892089.

It is a Cunningham number, because it is equal to 9901²-1.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17325 + ... + 22275.

It is an arithmetic number, because the mean of its divisors is an integer number (2494570).

Almost surely, 2^98029800 is an apocalyptic number.

98029800 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 98029800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179609040).

98029800 is an abundant number, since it is smaller than the sum of its proper divisors (261188280).

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

98029800 is a wasteful number, since it uses less digits than its factorization.

98029800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4984 (or 4972 counting only the distinct ones).

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

The square root of 98029800 is about 9900.9999495001. Note that the first 4 decimals coincide. The cubic root of 98029800 is about 461.0903561031.

The spelling of 98029800 in words is "ninety-eight million, twenty-nine thousand, eight hundred".