96480 has 72 divisors (see below), whose sum is σ = 334152. Its totient is φ = 25344.

The previous prime is 96479. The next prime is 96487. The reversal of 96480 is 8469.

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

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96487) 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, 1407 + ... + 1473.

It is an arithmetic number, because the mean of its divisors is an integer number (4641).

2⁹⁶⁴⁸⁰ is an apocalyptic number.

96480 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 96480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167076).

96480 is an abundant number, since it is smaller than the sum of its proper divisors (237672).

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

96480 is a wasteful number, since it uses less digits than its factorization.

96480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 77 counting only the distinct ones).

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

The square root of 96480 is about 310.6122985331. The cubic root of 96480 is about 45.8647571466.

It can be divided in two parts, 96 and 480, that added together give a square (576 = 24²).

The spelling of 96480 in words is "ninety-six thousand, four hundred eighty".