98415200 has 72 divisors (see below), whose sum is σ = 258764688. Its totient is φ = 36334080.

The previous prime is 98415199. The next prime is 98415209. The reversal of 98415200 is 251489.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98415209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5669 + ... + 15131.

It is an arithmetic number, because the mean of its divisors is an integer number (3593954).

Almost surely, 2^98415200 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 98415200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129382344).

98415200 is an abundant number, since it is smaller than the sum of its proper divisors (160349488).

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

98415200 is a wasteful number, since it uses less digits than its factorization.

98415200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9496 (or 9483 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 98415200 is about 9920.4435384715. The cubic root of 98415200 is about 461.6938183553.

Adding to 98415200 its reverse (251489), we get a palindrome (98666689).

It can be divided in two parts, 98415 and 200, that multiplied together give a cube (19683000 = 270³).

The spelling of 98415200 in words is "ninety-eight million, four hundred fifteen thousand, two hundred".