648628416 has 84 divisors (see below), whose sum is σ = 1894344192. Its totient is φ = 212120064.

The previous prime is 648628397. The next prime is 648628447. The reversal of 648628416 is 614826846.

648628416 is a `hidden beast` number, since 6 + 4 + 8 + 628 + 4 + 16 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19905 + ... + 41151.

Almost surely, 2^648628416 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 648628416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947172096).

648628416 is an abundant number, since it is smaller than the sum of its proper divisors (1245715776).

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

648628416 is a wasteful number, since it uses less digits than its factorization.

648628416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21318 (or 21305 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 648628416 is about 25468.1843875844. The cubic root of 648628416 is about 865.6293841237.

The spelling of 648628416 in words is "six hundred forty-eight million, six hundred twenty-eight thousand, four hundred sixteen".