96484320 has 72 divisors (see below), whose sum is σ = 329257656. Its totient is φ = 25728768.

The previous prime is 96484301. The next prime is 96484321. The reversal of 96484320 is 2348469.

It is a happy number.

96484320 is a `hidden beast` number, since 9 + 648 + 4 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96484321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32062 + ... + 34941.

It is an arithmetic number, because the mean of its divisors is an integer number (4573023).

Almost surely, 2^96484320 is an apocalyptic number.

96484320 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

96484320 is an abundant number, since it is smaller than the sum of its proper divisors (232773336).

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

96484320 is a wasteful number, since it uses less digits than its factorization.

96484320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67024 (or 67013 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 96484320 is about 9822.6432287852. The cubic root of 96484320 is about 458.6544168503.

It can be divided in two parts, 96 and 484320, that added together give a square (484416 = 696²).

The spelling of 96484320 in words is "ninety-six million, four hundred eighty-four thousand, three hundred twenty".