96835200 has 384 divisors, whose sum is σ = 400688640. Its totient is φ = 19968000.

The previous prime is 96835163. The next prime is 96835217. The reversal of 96835200 is 253869.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 739135 + ... + 739265.

It is an arithmetic number, because the mean of its divisors is an integer number (1043460).

Almost surely, 2^96835200 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 96835200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200344320).

96835200 is an abundant number, since it is smaller than the sum of its proper divisors (303853440).

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

96835200 is a wasteful number, since it uses less digits than its factorization.

96835200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 96835200 is about 9840.4877927875. The cubic root of 96835200 is about 459.2097332290.

The spelling of 96835200 in words is "ninety-six million, eight hundred thirty-five thousand, two hundred".