96811200 has 294 divisors, whose sum is σ = 361463844. Its totient is φ = 25505280.

The previous prime is 96811199. The next prime is 96811201. The reversal of 96811200 is 211869.

It is an interprime number because it is at equal distance from previous prime (96811199) and next prime (96811201).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (96811201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 1166359 + ... + 1166441.

Almost surely, 2^96811200 is an apocalyptic number.

96811200 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 96811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180731922).

96811200 is an abundant number, since it is smaller than the sum of its proper divisors (264652644).

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

96811200 is an equidigital number, since it uses as much as digits as its factorization.

96811200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 96811200 is about 9839.2682654758. The cubic root of 96811200 is about 459.1717926722.

The spelling of 96811200 in words is "ninety-six million, eight hundred eleven thousand, two hundred".