96607368 has 144 divisors (see below), whose sum is σ = 310078860. Its totient is φ = 26991360.

The previous prime is 96607361. The next prime is 96607417. The reversal of 96607368 is 86370669.

96607368 is a `hidden beast` number, since 9 + 6 + 607 + 36 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 77053284 + 19554084 = 8778^2 + 4422^2 .

It is not an unprimeable number, because it can be changed into a prime (96607361) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 112830 + ... + 113682.

Almost surely, 2^96607368 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 96607368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155039430).

96607368 is an abundant number, since it is smaller than the sum of its proper divisors (213471492).

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

96607368 is a wasteful number, since it uses less digits than its factorization.

96607368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 96607368 is about 9828.9047202626. The cubic root of 96607368 is about 458.8493104669.

The spelling of 96607368 in words is "ninety-six million, six hundred seven thousand, three hundred sixty-eight".