96509200 has 120 divisors (see below), whose sum is σ = 246262016. Its totient is φ = 36288000.

The previous prime is 96509183. The next prime is 96509233. The reversal of 96509200 is 290569.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 533110 + ... + 533290.

Almost surely, 2^96509200 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 96509200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123131008).

96509200 is an abundant number, since it is smaller than the sum of its proper divisors (149752816).

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

96509200 is a wasteful number, since it uses less digits than its factorization.

96509200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 31.

The square root of 96509200 is about 9823.9096087047. The cubic root of 96509200 is about 458.6938372147.

Adding to 96509200 its reverse (290569), we get a palindrome (96799769).

The spelling of 96509200 in words is "ninety-six million, five hundred nine thousand, two hundred".