98053200 has 240 divisors, whose sum is σ = 399160960. Its totient is φ = 22394880.

The previous prime is 98053199. The next prime is 98053213. The reversal of 98053200 is 235089.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×98053200² = 19228860060480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74952 + ... + 76248.

Almost surely, 2^98053200 is an apocalyptic number.

98053200 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 98053200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199580480).

98053200 is an abundant number, since it is smaller than the sum of its proper divisors (301107760).

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

98053200 is a wasteful number, since it uses less digits than its factorization.

98053200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 98053200 is about 9902.1815778141. The cubic root of 98053200 is about 461.1270410565.

Adding to 98053200 its reverse (235089), we get a palindrome (98288289).

The spelling of 98053200 in words is "ninety-eight million, fifty-three thousand, two hundred".