98349300 has 216 divisors, whose sum is σ = 359102016. Its totient is φ = 22049280.

The previous prime is 98349281. The next prime is 98349319. The reversal of 98349300 is 394389.

98349300 is a `hidden beast` number, since 9 + 8 + 349 + 300 = 666.

It is an interprime number because it is at equal distance from previous prime (98349281) and next prime (98349319).

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 71 ways as a sum of consecutive naturals, for example, 421984 + ... + 422216.

Almost surely, 2^98349300 is an apocalyptic number.

98349300 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 98349300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179551008).

98349300 is an abundant number, since it is smaller than the sum of its proper divisors (260752716).

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

98349300 is a wasteful number, since it uses less digits than its factorization.

98349300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 98349300 is about 9917.1215581942. The cubic root of 98349300 is about 461.5907434364.

The spelling of 98349300 in words is "ninety-eight million, three hundred forty-nine thousand, three hundred".