648393600 has 384 divisors, whose sum is σ = 2356322400. Its totient is φ = 155975680.

The previous prime is 648393589. The next prime is 648393611. The reversal of 648393600 is 6393846.

It is an interprime number because it is at equal distance from previous prime (648393589) and next prime (648393611).

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 4732732 + ... + 4732868.

Almost surely, 2^648393600 is an apocalyptic number.

648393600 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 648393600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178161200).

648393600 is an abundant number, since it is smaller than the sum of its proper divisors (1707928800).

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

648393600 is a wasteful number, since it uses less digits than its factorization.

648393600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 648393600 is about 25463.5739832412. The cubic root of 648393600 is about 865.5249133369.

It can be divided in two parts, 6 and 48393600, that multiplied together give a square (290361600 = 17040²).

The spelling of 648393600 in words is "six hundred forty-eight million, three hundred ninety-three thousand, six hundred".