96342400 has 384 divisors, whose sum is σ = 327836160. Its totient is φ = 27033600.

The previous prime is 96342391. The next prime is 96342409. The reversal of 96342400 is 424369.

It is an interprime number because it is at equal distance from previous prime (96342391) and next prime (96342409).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96342409) 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 47 ways as a sum of consecutive naturals, for example, 4188789 + ... + 4188811.

It is an arithmetic number, because the mean of its divisors is an integer number (853740).

Almost surely, 2^96342400 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 96342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163918080).

96342400 is an abundant number, since it is smaller than the sum of its proper divisors (231493760).

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

96342400 is a wasteful number, since it uses less digits than its factorization.

96342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 96342400 is about 9815.4164455717. The cubic root of 96342400 is about 458.4294263166.

Adding to 96342400 its reverse (424369), we get a palindrome (96766769).

The spelling of 96342400 in words is "ninety-six million, three hundred forty-two thousand, four hundred".