96432336 has 320 divisors, whose sum is σ = 373309440. Its totient is φ = 23016960.

The previous prime is 96432317. The next prime is 96432361. The reversal of 96432336 is 63323469.

96432336 is a `hidden beast` number, since 9 + 643 + 2 + 3 + 3 + 6 = 666.

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 self number, because there is not a number n which added to its sum of digits gives 96432336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 432321 + ... + 432543.

It is an arithmetic number, because the mean of its divisors is an integer number (1166592).

Almost surely, 2^96432336 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 96432336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186654720).

96432336 is an abundant number, since it is smaller than the sum of its proper divisors (276877104).

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

96432336 is a wasteful number, since it uses less digits than its factorization.

96432336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 259 counting only the distinct ones).

The product of its digits is 69984, while the sum is 36.

The square root of 96432336 is about 9819.9967413437. The cubic root of 96432336 is about 458.5720304947.

The spelling of 96432336 in words is "ninety-six million, four hundred thirty-two thousand, three hundred thirty-six".