96840900 has 288 divisors, whose sum is σ = 349977600. Its totient is φ = 22809600.

The previous prime is 96840899. The next prime is 96840901. The reversal of 96840900 is 904869.

It is an interprime number because it is at equal distance from previous prime (96840899) and next prime (96840901).

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

It is not an unprimeable number, because it can be changed into a prime (96840901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1088056 + ... + 1088144.

It is an arithmetic number, because the mean of its divisors is an integer number (1215200).

Almost surely, 2^96840900 is an apocalyptic number.

96840900 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 96840900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174988800).

96840900 is an abundant number, since it is smaller than the sum of its proper divisors (253136700).

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

96840900 is a wasteful number, since it uses less digits than its factorization.

96840900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 96840900 is about 9840.7774083149. Note that the first 3 decimals coincide. The cubic root of 96840900 is about 459.2187431900.

The spelling of 96840900 in words is "ninety-six million, eight hundred forty thousand, nine hundred".