96048 has 60 divisors (see below), whose sum is σ = 290160. Its totient is φ = 29568.

The previous prime is 96043. The next prime is 96053. The reversal of 96048 is 84069.

It is an interprime number because it is at equal distance from previous prime (96043) and next prime (96053).

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (96043) by changing a digit.

96048 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3298 + ... + 3326.

It is an arithmetic number, because the mean of its divisors is an integer number (4836).

2⁹⁶⁰⁴⁸ 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 96048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145080).

96048 is an abundant number, since it is smaller than the sum of its proper divisors (194112).

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

96048 is a wasteful number, since it uses less digits than its factorization.

96048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 57 counting only the distinct ones).

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

The square root of 96048 is about 309.9161176835. The cubic root of 96048 is about 45.7961998589.

The spelling of 96048 in words is "ninety-six thousand, forty-eight".