98598600 has 288 divisors, whose sum is σ = 369396000. Its totient is φ = 24105600.

The previous prime is 98598571. The next prime is 98598601. The reversal of 98598600 is 689589.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (98598601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3180585 + ... + 3180615.

It is an arithmetic number, because the mean of its divisors is an integer number (1282625).

Almost surely, 2^98598600 is an apocalyptic number.

98598600 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 98598600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184698000).

98598600 is an abundant number, since it is smaller than the sum of its proper divisors (270797400).

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

98598600 is a wasteful number, since it uses less digits than its factorization.

98598600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 98598600 is about 9929.6827743891. The cubic root of 98598600 is about 461.9804343207.

The spelling of 98598600 in words is "ninety-eight million, five hundred ninety-eight thousand, six hundred".