96896900 has 36 divisors (see below), whose sum is σ = 211809360. Its totient is φ = 38474400.

The previous prime is 96896893. The next prime is 96896909. The reversal of 96896900 is 969869.

It is a happy number.

It is a super-2 number, since 2×96896900² = 18778018459220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (96896909) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10415 + ... + 17385.

Almost surely, 2^96896900 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 96896900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105904680).

96896900 is an abundant number, since it is smaller than the sum of its proper divisors (114912460).

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

96896900 is a wasteful number, since it uses less digits than its factorization.

96896900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7124 (or 7117 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 47.

The square root of 96896900 is about 9843.6223007590. The cubic root of 96896900 is about 459.3072433115.

The spelling of 96896900 in words is "ninety-six million, eight hundred ninety-six thousand, nine hundred".