96408000 has 336 divisors, whose sum is σ = 375001536. Its totient is φ = 23500800.

The previous prime is 96407959. The next prime is 96408001. The reversal of 96408000 is 80469.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96408001) 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 47 ways as a sum of consecutive naturals, for example, 935949 + ... + 936051.

It is an arithmetic number, because the mean of its divisors is an integer number (1116076).

Almost surely, 2^96408000 is an apocalyptic number.

96408000 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 96408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187500768).

96408000 is an abundant number, since it is smaller than the sum of its proper divisors (278593536).

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

96408000 is a wasteful number, since it uses less digits than its factorization.

96408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 96408000 is about 9818.7575588768. The cubic root of 96408000 is about 458.5334516379.

Adding to 96408000 its reverse (80469), we get a palindrome (96488469).

The spelling of 96408000 in words is "ninety-six million, four hundred eight thousand".