96768200 has 48 divisors (see below), whose sum is σ = 230493060. Its totient is φ = 37760000.

The previous prime is 96768193. The next prime is 96768223. The reversal of 96768200 is 286769.

It can be written as a sum of positive squares in 6 ways, for example, as 13118884 + 83649316 = 3622^2 + 9146^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2300 + ... + 14100.

Almost surely, 2^96768200 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 96768200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115246530).

96768200 is an abundant number, since it is smaller than the sum of its proper divisors (133724860).

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

96768200 is a wasteful number, since it uses less digits than its factorization.

96768200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11858 (or 11849 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 96768200 is about 9837.0829009417. The cubic root of 96768200 is about 459.1038001567.

The spelling of 96768200 in words is "ninety-six million, seven hundred sixty-eight thousand, two hundred".