98611200 has 234 divisors, whose sum is σ = 356505084. Its totient is φ = 26050560.

The previous prime is 98611181. The next prime is 98611207. The reversal of 98611200 is 211689.

It is not an unprimeable number, because it can be changed into a prime (98611207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 921547 + ... + 921653.

It is an arithmetic number, because the mean of its divisors is an integer number (1523526).

Almost surely, 2^98611200 is an apocalyptic number.

98611200 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 98611200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178252542).

98611200 is an abundant number, since it is smaller than the sum of its proper divisors (257893884).

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

98611200 is a wasteful number, since it uses less digits than its factorization.

98611200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 98611200 is about 9930.3172154771. The cubic root of 98611200 is about 462.0001124416. Note that the first 3 decimals are identical.

Adding to 98611200 its reverse (211689), we get a palindrome (98822889).

The spelling of 98611200 in words is "ninety-eight million, six hundred eleven thousand, two hundred".