96366800 has 60 divisors (see below), whose sum is σ = 233868960. Its totient is φ = 38156160.

The previous prime is 96366799. The next prime is 96366839. The reversal of 96366800 is 866369.

It is a happy number.

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, 40031 + ... + 42369.

It is an arithmetic number, because the mean of its divisors is an integer number (3897816).

Almost surely, 2^96366800 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 96366800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116934480).

96366800 is an abundant number, since it is smaller than the sum of its proper divisors (137502160).

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

96366800 is a wasteful number, since it uses less digits than its factorization.

96366800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2460 (or 2449 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 38.

The square root of 96366800 is about 9816.6593095615. The cubic root of 96366800 is about 458.4681241756.

The spelling of 96366800 in words is "ninety-six million, three hundred sixty-six thousand, eight hundred".