96963800 has 48 divisors (see below), whose sum is σ = 226399200. Its totient is φ = 38620800.

The previous prime is 96963799. The next prime is 96963803. The reversal of 96963800 is 836969.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96963803) 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, 53306 + ... + 55094.

It is an arithmetic number, because the mean of its divisors is an integer number (4716650).

Almost surely, 2^96963800 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 96963800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113199600).

96963800 is an abundant number, since it is smaller than the sum of its proper divisors (129435400).

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

96963800 is a wasteful number, since it uses less digits than its factorization.

96963800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2076 (or 2067 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 41.

The square root of 96963800 is about 9847.0198537426. The cubic root of 96963800 is about 459.4129246614.

The spelling of 96963800 in words is "ninety-six million, nine hundred sixty-three thousand, eight hundred".