96661728 has 96 divisors (see below), whose sum is σ = 298559520. Its totient is φ = 30320640.

The previous prime is 96661699. The next prime is 96661729. The reversal of 96661728 is 82716669.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96661729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11398 + ... + 17978.

It is an arithmetic number, because the mean of its divisors is an integer number (3109995).

Almost surely, 2^96661728 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 96661728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149279760).

96661728 is an abundant number, since it is smaller than the sum of its proper divisors (201897792).

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

96661728 is a wasteful number, since it uses less digits than its factorization.

96661728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6617 (or 6603 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 96661728 is about 9831.6696445721. The cubic root of 96661728 is about 458.9353576359.

The spelling of 96661728 in words is "ninety-six million, six hundred sixty-one thousand, seven hundred twenty-eight".