648375 has 64 divisors (see below), whose sum is σ = 1397760. Its totient is φ = 259200.

The previous prime is 648371. The next prime is 648377. The reversal of 648375 is 573846.

It is not a de Polignac number, because 648375 - 2² = 648371 is a prime.

648375 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (648371) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34116 + ... + 34134.

It is an arithmetic number, because the mean of its divisors is an integer number (21840).

2⁶⁴⁸³⁷⁵ is an apocalyptic number.

648375 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

648375 is an abundant number, since it is smaller than the sum of its proper divisors (749385).

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

648375 is a wasteful number, since it uses less digits than its factorization.

648375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 47 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 648375 is about 805.2173619589. The cubic root of 648375 is about 86.5516637028.

Adding to 648375 its reverse (573846), we get a palindrome (1222221).

Subtracting from 648375 its reverse (573846), we obtain a square (74529 = 273²).

The spelling of 648375 in words is "six hundred forty-eight thousand, three hundred seventy-five".