96384820 has 48 divisors (see below), whose sum is σ = 234517248. Its totient is φ = 32590080.

The previous prime is 96384803. The next prime is 96384823. The reversal of 96384820 is 2848369.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96384823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5505 + ... + 14935.

It is an arithmetic number, because the mean of its divisors is an integer number (4885776).

Almost surely, 2^96384820 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 96384820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117258624).

96384820 is an abundant number, since it is smaller than the sum of its proper divisors (138132428).

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

96384820 is a wasteful number, since it uses less digits than its factorization.

96384820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9520 (or 9518 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 96384820 is about 9817.5770941715. The cubic root of 96384820 is about 458.4966993028.

The spelling of 96384820 in words is "ninety-six million, three hundred eighty-four thousand, eight hundred twenty".