60648 has 48 divisors (see below), whose sum is σ = 182880. Its totient is φ = 16416.

The previous prime is 60647. The next prime is 60649. The reversal of 60648 is 84606.

It is an interprime number because it is at equal distance from previous prime (60647) and next prime (60649).

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 60648.

It is not an unprimeable number, because it can be changed into a prime (60647) 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, 3183 + ... + 3201.

It is an arithmetic number, because the mean of its divisors is an integer number (3810).

2⁶⁰⁶⁴⁸ 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 60648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91440).

60648 is an abundant number, since it is smaller than the sum of its proper divisors (122232).

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

60648 is a wasteful number, since it uses less digits than its factorization.

60648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 31 counting only the distinct ones).

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

The square root of 60648 is about 246.2681465395. The cubic root of 60648 is about 39.2891073024.

The spelling of 60648 in words is "sixty thousand, six hundred forty-eight".