96898500 has 144 divisors (see below), whose sum is σ = 311573808. Its totient is φ = 25344000.

The previous prime is 96898481. The next prime is 96898507. The reversal of 96898500 is 589869.

It can be written as a sum of positive squares in 8 ways, for example, as 64545156 + 32353344 = 8034^2 + 5688^2 .

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 (96898507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 274324 + ... + 274676.

It is an arithmetic number, because the mean of its divisors is an integer number (2163707).

Almost surely, 2^96898500 is an apocalyptic number.

96898500 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 96898500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155786904).

96898500 is an abundant number, since it is smaller than the sum of its proper divisors (214675308).

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

96898500 is a wasteful number, since it uses less digits than its factorization.

96898500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 424 counting only the distinct ones).

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

The square root of 96898500 is about 9843.7035713191. The cubic root of 96898500 is about 459.3097713853.

The spelling of 96898500 in words is "ninety-six million, eight hundred ninety-eight thousand, five hundred".