98044800 has 192 divisors, whose sum is σ = 369321600. Its totient is φ = 22394880.

The previous prime is 98044799. The next prime is 98044801. The reversal of 98044800 is 844089.

It is an interprime number because it is at equal distance from previous prime (98044799) and next prime (98044801).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×98044800² = 19225565614080000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98044801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66471 + ... + 67929.

It is an arithmetic number, because the mean of its divisors is an integer number (1923550).

Almost surely, 2^98044800 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 98044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184660800).

98044800 is an abundant number, since it is smaller than the sum of its proper divisors (271276800).

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

98044800 is a wasteful number, since it uses less digits than its factorization.

98044800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1493 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 98044800 is about 9901.7574197715. The cubic root of 98044800 is about 461.1138727705.

Adding to 98044800 its reverse (844089), we get a palindrome (98888889).

The spelling of 98044800 in words is "ninety-eight million, forty-four thousand, eight hundred".