98022600 has 288 divisors, whose sum is σ = 365601600. Its totient is φ = 23385600.

The previous prime is 98022569. The next prime is 98022601. The reversal of 98022600 is 622089.

It is a super-2 number, since 2×98022600² = 19216860221520000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (98022601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1380565 + ... + 1380635.

It is an arithmetic number, because the mean of its divisors is an integer number (1269450).

Almost surely, 2^98022600 is an apocalyptic number.

98022600 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 98022600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182800800).

98022600 is an abundant number, since it is smaller than the sum of its proper divisors (267579000).

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

98022600 is a wasteful number, since it uses less digits than its factorization.

98022600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 98022600 is about 9900.6363431852. The cubic root of 98022600 is about 461.0790672506.

Adding to 98022600 its reverse (622089), we get a palindrome (98644689).

The spelling of 98022600 in words is "ninety-eight million, twenty-two thousand, six hundred".