96147200 has 108 divisors (see below), whose sum is σ = 242177208. Its totient is φ = 37785600.

The previous prime is 96147197. The next prime is 96147203. The reversal of 96147200 is 274169.

It is an interprime number because it is at equal distance from previous prime (96147197) and next prime (96147203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96147203) 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, 531110 + ... + 531290.

Almost surely, 2^96147200 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 96147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121088604).

96147200 is an abundant number, since it is smaller than the sum of its proper divisors (146030008).

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

96147200 is a wasteful number, since it uses less digits than its factorization.

96147200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 271 counting only the distinct ones).

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

The square root of 96147200 is about 9805.4678623715. The cubic root of 96147200 is about 458.1196079749.

The spelling of 96147200 in words is "ninety-six million, one hundred forty-seven thousand, two hundred".