98023200 has 288 divisors, whose sum is σ = 359976960. Its totient is φ = 22963200.

The previous prime is 98023199. The next prime is 98023201. The reversal of 98023200 is 232089.

It is an interprime number because it is at equal distance from previous prime (98023199) and next prime (98023201).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (98023201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1240761 + ... + 1240839.

It is an arithmetic number, because the mean of its divisors is an integer number (1249920).

Almost surely, 2^98023200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179988480).

98023200 is an abundant number, since it is smaller than the sum of its proper divisors (261953760).

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

98023200 is a wasteful number, since it uses less digits than its factorization.

98023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 98023200 is about 9900.6666442215. Note that the first 4 decimals coincide. The cubic root of 98023200 is about 461.0800080094.

Adding to 98023200 its reverse (232089), we get a palindrome (98255289).

The spelling of 98023200 in words is "ninety-eight million, twenty-three thousand, two hundred".