648672 has 48 divisors (see below), whose sum is σ = 1769040. Its totient is φ = 207872.

The previous prime is 648671. The next prime is 648677. The reversal of 648672 is 276846.

648672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (648671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2668 + ... + 2900.

It is an arithmetic number, because the mean of its divisors is an integer number (36855).

2⁶⁴⁸⁶⁷² 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 648672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884520).

648672 is an abundant number, since it is smaller than the sum of its proper divisors (1120368).

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

648672 is a wasteful number, since it uses less digits than its factorization.

648672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 267 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 648672 is about 805.4017630972. The cubic root of 648672 is about 86.5648772084.

The spelling of 648672 in words is "six hundred forty-eight thousand, six hundred seventy-two".