96695200 has 144 divisors (see below), whose sum is σ = 278982144. Its totient is φ = 32025600.

The previous prime is 96695177. The next prime is 96695213. The reversal of 96695200 is 259669.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 96695200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173322 + ... + 173878.

It is an arithmetic number, because the mean of its divisors is an integer number (1937376).

Almost surely, 2^96695200 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 96695200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139491072).

96695200 is an abundant number, since it is smaller than the sum of its proper divisors (182286944).

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

96695200 is a wasteful number, since it uses less digits than its factorization.

96695200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 37.

The square root of 96695200 is about 9833.3717513374. The cubic root of 96695200 is about 458.9883248645.

The spelling of 96695200 in words is "ninety-six million, six hundred ninety-five thousand, two hundred".