96633936 has 120 divisors (see below), whose sum is σ = 317551104. Its totient is φ = 26853120.

The previous prime is 96633931. The next prime is 96633937. The reversal of 96633936 is 63933669.

96633936 is a `hidden beast` number, since 9 + 6 + 633 + 9 + 3 + 6 = 666.

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

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 96633891 and 96633900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96633931) 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, 36001 + ... + 38591.

Almost surely, 2^96633936 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 96633936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158775552).

96633936 is an abundant number, since it is smaller than the sum of its proper divisors (220917168).

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

96633936 is a wasteful number, since it uses less digits than its factorization.

96633936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2649 (or 2640 counting only the distinct ones).

The product of its digits is 472392, while the sum is 45.

The square root of 96633936 is about 9830.2561512913. The cubic root of 96633936 is about 458.8913693401.

The spelling of 96633936 in words is "ninety-six million, six hundred thirty-three thousand, nine hundred thirty-six".