96634368 has 120 divisors (see below), whose sum is σ = 283960248. Its totient is φ = 31629312.

The previous prime is 96634367. The next prime is 96634379. The reversal of 96634368 is 86343669.

96634368 is a `hidden beast` number, since 9 + 6 + 634 + 3 + 6 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96634367) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 308580 + ... + 308892.

Almost surely, 2^96634368 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 96634368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141980124).

96634368 is an abundant number, since it is smaller than the sum of its proper divisors (187325880).

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

96634368 is a wasteful number, since it uses less digits than its factorization.

96634368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 385 counting only the distinct ones).

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

The square root of 96634368 is about 9830.2781242445. The cubic root of 96634368 is about 458.8920531605.

The spelling of 96634368 in words is "ninety-six million, six hundred thirty-four thousand, three hundred sixty-eight".