98009600 has 240 divisors, whose sum is σ = 284148480. Its totient is φ = 33177600.

The previous prime is 98009579. The next prime is 98009603. The reversal of 98009600 is 690089.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (98009603) 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, 3161585 + ... + 3161615.

It is an arithmetic number, because the mean of its divisors is an integer number (1183952).

Almost surely, 2^98009600 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 98009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142074240).

98009600 is an abundant number, since it is smaller than the sum of its proper divisors (186138880).

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

98009600 is a wasteful number, since it uses less digits than its factorization.

98009600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 32.

The square root of 98009600 is about 9899.9797979592. The cubic root of 98009600 is about 461.0586832001.

Adding to 98009600 its reverse (690089), we get a palindrome (98699689).

The spelling of 98009600 in words is "ninety-eight million, nine thousand, six hundred".