66248 has 36 divisors (see below), whose sum is σ = 156465. Its totient is φ = 26208.

The previous prime is 66239. The next prime is 66271. The reversal of 66248 is 84266.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 56644 + 9604 = 238^2 + 98^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=182.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a d-powerful number, because it can be written as 6² + 6² + 2⁷ + 4⁸ + 8³ .

It is a Duffinian number.

It is an unprimeable number.

66248 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5090 + ... + 5102.

2⁶⁶²⁴⁸ 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 66248

66248 is an abundant number, since it is smaller than the sum of its proper divisors (90217).

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

66248 is a wasteful number, since it uses less digits than its factorization.

66248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 22 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

The square root of 66248 is about 257.3868683519. The cubic root of 66248 is about 40.4629544903.

The spelling of 66248 in words is "sixty-six thousand, two hundred forty-eight".