96735800 has 72 divisors (see below), whose sum is σ = 261657360. Its totient is φ = 33163200.

The previous prime is 96735761. The next prime is 96735803. The reversal of 96735800 is 853769.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96735803) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4865 + ... + 14735.

It is an arithmetic number, because the mean of its divisors is an integer number (3634130).

Almost surely, 2^96735800 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 96735800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130828680).

96735800 is an abundant number, since it is smaller than the sum of its proper divisors (164921560).

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

96735800 is a wasteful number, since it uses less digits than its factorization.

96735800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9901 (or 9885 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 96735800 is about 9835.4359333992. The cubic root of 96735800 is about 459.0525552795.

The spelling of 96735800 in words is "ninety-six million, seven hundred thirty-five thousand, eight hundred".