96306336 has 288 divisors, whose sum is σ = 342171648. Its totient is φ = 25090560.

The previous prime is 96306323. The next prime is 96306391. The reversal of 96306336 is 63360369.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 96306336.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1437375 + ... + 1437441.

It is an arithmetic number, because the mean of its divisors is an integer number (1188096).

Almost surely, 2^96306336 is an apocalyptic number.

96306336 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96306336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171085824).

96306336 is an abundant number, since it is smaller than the sum of its proper divisors (245865312).

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

96306336 is a wasteful number, since it uses less digits than its factorization.

96306336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 36.

The square root of 96306336 is about 9813.5791635876. The cubic root of 96306336 is about 458.3722176450.

The spelling of 96306336 in words is "ninety-six million, three hundred six thousand, three hundred thirty-six".