96480000 has 270 divisors, whose sum is σ = 352796444. Its totient is φ = 25344000.

The previous prime is 96479989. The next prime is 96480001. The reversal of 96480000 is 8469.

It is not an unprimeable number, because it can be changed into a prime (96480001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1439967 + ... + 1440033.

Almost surely, 2^96480000 is an apocalyptic number.

96480000 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 96480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176398222).

96480000 is an abundant number, since it is smaller than the sum of its proper divisors (256316444).

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

96480000 is an equidigital number, since it uses as much as digits as its factorization.

96480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 77 counting only the distinct ones).

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

The square root of 96480000 is about 9822.4233262469. The cubic root of 96480000 is about 458.6475714663.

Adding to 96480000 its reverse (8469), we get a palindrome (96488469).

The spelling of 96480000 in words is "ninety-six million, four hundred eighty thousand".