96397830400 has 81 divisors (see below), whose sum is σ = 238661187163. Its totient is φ = 38549196800.

The previous prime is 96397830377. The next prime is 96397830407. The reversal of 96397830400 is 403879369.

The square root of 96397830400 is 310480.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 9935104 + 96387895296 = 3152^2 + 310464^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (96397830407) 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 8 ways as a sum of consecutive naturals, for example, 24836460 + ... + 24840340.

Almost surely, 2^96397830400 is an apocalyptic number.

96397830400 is the 310480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96397830400

96397830400 is an abundant number, since it is smaller than the sum of its proper divisors (142263356763).

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

96397830400 is an frugal number, since it uses more digits than its factorization.

96397830400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7788 (or 3888 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 49.

Multiplying 96397830400 by its sum of digits (49), we get a square (4723493689600 = 2173360²).

The spelling of 96397830400 in words is "ninety-six billion, three hundred ninety-seven million, eight hundred thirty thousand, four hundred".