96566900 has 36 divisors (see below), whose sum is σ = 210989100. Its totient is φ = 38361600.

The previous prime is 96566837. The next prime is 96566923. The reversal of 96566900 is 966569.

It can be written as a sum of positive squares in 6 ways, for example, as 605284 + 95961616 = 778^2 + 9796^2 .

It is a super-2 number, since 2×96566900² = 18650332351220000, which contains 22 as substring.

It is a congruent number.

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, 11660 + ... + 18140.

Almost surely, 2^96566900 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 96566900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105494550).

96566900 is an abundant number, since it is smaller than the sum of its proper divisors (114422200).

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

96566900 is a wasteful number, since it uses less digits than its factorization.

96566900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6644 (or 6637 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 41.

The square root of 96566900 is about 9826.8458825810. The cubic root of 96566900 is about 458.7852321685.

The spelling of 96566900 in words is "ninety-six million, five hundred sixty-six thousand, nine hundred".