96633216 has 64 divisors (see below), whose sum is σ = 285212400. Its totient is φ = 32209920.

The previous prime is 96633161. The next prime is 96633241. The reversal of 96633216 is 61233669.

96633216 is a `hidden beast` number, since 9 + 6 + 633 + 2 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10525 + ... + 17436.

Almost surely, 2^96633216 is an apocalyptic number.

96633216 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

96633216 is an abundant number, since it is smaller than the sum of its proper divisors (188579184).

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

96633216 is a wasteful number, since it uses less digits than its factorization.

96633216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27984 (or 27966 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 96633216 is about 9830.2195295934. The cubic root of 96633216 is about 458.8902296349.

The spelling of 96633216 in words is "ninety-six million, six hundred thirty-three thousand, two hundred sixteen".