96627200 has 60 divisors (see below), whose sum is σ = 239433150. Its totient is φ = 38645760.

The previous prime is 96627161. The next prime is 96627203. The reversal of 96627200 is 272669.

It can be written as a sum of positive squares in 3 ways, for example, as 85229824 + 11397376 = 9232^2 + 3376^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

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 (96627203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9026 + ... + 16574.

Almost surely, 2^96627200 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 96627200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119716575).

96627200 is an abundant number, since it is smaller than the sum of its proper divisors (142805950).

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

96627200 is an equidigital number, since it uses as much as digits as its factorization.

96627200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7577 (or 7556 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 96627200 is about 9829.9135296299. The cubic root of 96627200 is about 458.8807065432.

Adding to 96627200 its reverse (272669), we get a palindrome (96899869).

The spelling of 96627200 in words is "ninety-six million, six hundred twenty-seven thousand, two hundred".