98269200 has 210 divisors, whose sum is σ = 355026074. Its totient is φ = 26127360.

The previous prime is 98269189. The next prime is 98269201. The reversal of 98269200 is 296289.

It can be written as a sum of positive squares in 3 ways, for example, as 1679616 + 96589584 = 1296^2 + 9828^2 .

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

It is not an unprimeable number, because it can be changed into a prime (98269201) 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 41 ways as a sum of consecutive naturals, for example, 291432 + ... + 291768.

Almost surely, 2^98269200 is an apocalyptic number.

98269200 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 98269200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177513037).

98269200 is an abundant number, since it is smaller than the sum of its proper divisors (256756874).

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

98269200 is a wasteful number, since it uses less digits than its factorization.

98269200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 98269200 is about 9913.0822653703. The cubic root of 98269200 is about 461.4653961261.

The spelling of 98269200 in words is "ninety-eight million, two hundred sixty-nine thousand, two hundred".