96471200 has 216 divisors, whose sum is σ = 288544032. Its totient is φ = 31342080.

The previous prime is 96471191. The next prime is 96471203. The reversal of 96471200 is 217469.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (96471203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 901547 + ... + 901653.

It is an arithmetic number, because the mean of its divisors is an integer number (1335852).

Almost surely, 2^96471200 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 96471200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144272016).

96471200 is an abundant number, since it is smaller than the sum of its proper divisors (192072832).

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

96471200 is a wasteful number, since it uses less digits than its factorization.

96471200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 96471200 is about 9821.9753614026. The cubic root of 96471200 is about 458.6336265335.

Adding to 96471200 its reverse (217469), we get a palindrome (96688669).

The spelling of 96471200 in words is "ninety-six million, four hundred seventy-one thousand, two hundred".