96661200 has 120 divisors (see below), whose sum is σ = 312901600. Its totient is φ = 25505280.

The previous prime is 96661171. The next prime is 96661211. The reversal of 96661200 is 216669.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 130431 + ... + 131169.

Almost surely, 2^96661200 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 96661200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156450800).

96661200 is an abundant number, since it is smaller than the sum of its proper divisors (216240400).

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

96661200 is a wasteful number, since it uses less digits than its factorization.

96661200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 96661200 is about 9831.6427925347. The cubic root of 96661200 is about 458.9345220129.

Adding to 96661200 its reverse (216669), we get a palindrome (96877869).

The spelling of 96661200 in words is "ninety-six million, six hundred sixty-one thousand, two hundred".