648416 has 24 divisors (see below), whose sum is σ = 1333584. Its totient is φ = 309760.

The previous prime is 648391. The next prime is 648433. The reversal of 648416 is 614846.

648416 is nontrivially palindromic in base 5.

It is a congruent number.

It is an unprimeable number.

648416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 296 + ... + 1176.

It is an arithmetic number, because the mean of its divisors is an integer number (55566).

2⁶⁴⁸⁴¹⁶ 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 648416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666792).

648416 is an abundant number, since it is smaller than the sum of its proper divisors (685168).

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

648416 is a wasteful number, since it uses less digits than its factorization.

648416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 906 counting only the distinct ones).

The product of its digits is 4608, while the sum is 29.

The square root of 648416 is about 805.2428205206. The cubic root of 648416 is about 86.5534880295.

The spelling of 648416 in words is "six hundred forty-eight thousand, four hundred sixteen".