96436368 has 120 divisors (see below), whose sum is σ = 319176000. Its totient is φ = 26595072.

The previous prime is 96436367. The next prime is 96436441. The reversal of 96436368 is 86363469.

96436368 is a `hidden beast` number, since 9 + 6 + 4 + 3 + 636 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (96436363) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27583 + ... + 30881.

It is an arithmetic number, because the mean of its divisors is an integer number (2659800).

Almost surely, 2^96436368 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 96436368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159588000).

96436368 is an abundant number, since it is smaller than the sum of its proper divisors (222739632).

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

96436368 is a wasteful number, since it uses less digits than its factorization.

96436368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3349 (or 3340 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 96436368 is about 9820.2020345816. The cubic root of 96436368 is about 458.5784216312.

The spelling of 96436368 in words is "ninety-six million, four hundred thirty-six thousand, three hundred sixty-eight".