96805800 has 384 divisors, whose sum is σ = 412473600. Its totient is φ = 20321280.

The previous prime is 96805763. The next prime is 96805823. The reversal of 96805800 is 850869.

It is a super-3 number, since 3×96805800³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 491302 + ... + 491498.

It is an arithmetic number, because the mean of its divisors is an integer number (1074150).

Almost surely, 2^96805800 is an apocalyptic number.

96805800 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96805800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206236800).

96805800 is an abundant number, since it is smaller than the sum of its proper divisors (315667800).

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

96805800 is a wasteful number, since it uses less digits than its factorization.

96805800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 96805800 is about 9838.9938509992. The cubic root of 96805800 is about 459.1632551828.

The spelling of 96805800 in words is "ninety-six million, eight hundred five thousand, eight hundred".