648436320 has 384 divisors, whose sum is σ = 2662087680. Its totient is φ = 144322560.

The previous prime is 648436319. The next prime is 648436333. The reversal of 648436320 is 23634846.

It is a happy number.

648436320 is a `hidden beast` number, since 648 + 4 + 3 + 6 + 3 + 2 + 0 = 666.

It is a super-2 number, since 2×648436320² = 840939322190284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1239579 + ... + 1240101.

It is an arithmetic number, because the mean of its divisors is an integer number (6932520).

Almost surely, 2^648436320 is an apocalyptic number.

648436320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 648436320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331043840).

648436320 is an abundant number, since it is smaller than the sum of its proper divisors (2013651360).

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

648436320 is a wasteful number, since it uses less digits than its factorization.

648436320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 648436320 is about 25464.4128147499. The cubic root of 648436320 is about 865.5439215506.

The spelling of 648436320 in words is "six hundred forty-eight million, four hundred thirty-six thousand, three hundred twenty".