96008200 has 48 divisors (see below), whose sum is σ = 224154180. Its totient is φ = 38242560.

The previous prime is 96008191. The next prime is 96008201. The reversal of 96008200 is 280069.

It can be written as a sum of positive squares in 6 ways, for example, as 17189316 + 78818884 = 4146^2 + 8878^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (96008201) 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, 54534 + ... + 56266.

Almost surely, 2^96008200 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 96008200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112077090).

96008200 is an abundant number, since it is smaller than the sum of its proper divisors (128145980).

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

96008200 is a wasteful number, since it uses less digits than its factorization.

96008200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2026 (or 2017 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 96008200 is about 9798.3774166951. The cubic root of 96008200 is about 457.8987336735.

Adding to 96008200 its reverse (280069), we get a palindrome (96288269).

The spelling of 96008200 in words is "ninety-six million, eight thousand, two hundred".