96281600 has 66 divisors (see below), whose sum is σ = 238725234. Its totient is φ = 38502400.

The previous prime is 96281597. The next prime is 96281639. The reversal of 96281600 is 618269.

It can be written as a sum of positive squares in 3 ways, for example, as 4734976 + 91546624 = 2176^2 + 9568^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23720 + ... + 27480.

It is an arithmetic number, because the mean of its divisors is an integer number (3617049).

Almost surely, 2^96281600 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 96281600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119362617).

96281600 is an abundant number, since it is smaller than the sum of its proper divisors (142443634).

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

96281600 is a wasteful number, since it uses less digits than its factorization.

96281600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3791 (or 3768 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 96281600 is about 9812.3187881357. The cubic root of 96281600 is about 458.3329704313.

Adding to 96281600 its reverse (618269), we get a palindrome (96899869).

The spelling of 96281600 in words is "ninety-six million, two hundred eighty-one thousand, six hundred".