96947200 has 132 divisors (see below), whose sum is σ = 275149552. Its totient is φ = 33177600.

The previous prime is 96947197. The next prime is 96947233. The reversal of 96947200 is 274969.

It is a self number, because there is not a number n which added to its sum of digits gives 96947200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 178930 + ... + 179470.

Almost surely, 2^96947200 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 96947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137574776).

96947200 is an abundant number, since it is smaller than the sum of its proper divisors (178202352).

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

96947200 is a wasteful number, since it uses less digits than its factorization.

96947200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 96947200 is about 9846.1769230499. The cubic root of 96947200 is about 459.3867063208.

The spelling of 96947200 in words is "ninety-six million, nine hundred forty-seven thousand, two hundred".