66048 has 40 divisors (see below), whose sum is σ = 180048. Its totient is φ = 21504.

The previous prime is 66047. The next prime is 66067. The reversal of 66048 is 84066.

66048 is nontrivially palindromic in base 7.

It is a Cunningham number, because it is equal to 257²-1.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (66041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1515 + ... + 1557.

2⁶⁶⁰⁴⁸ 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 66048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90024).

66048 is an abundant number, since it is smaller than the sum of its proper divisors (114000).

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

66048 is an equidigital number, since it uses as much as digits as its factorization.

66048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 66048 is about 256.9980544673. The cubic root of 66048 is about 40.4221947777.

The spelling of 66048 in words is "sixty-six thousand, forty-eight".