648756224 has 44 divisors (see below), whose sum is σ = 1332007464. Its totient is φ = 315592704.

The previous prime is 648756217. The next prime is 648756233. The reversal of 648756224 is 422657846.

It is a super-3 number, since 3×648756224³ (a number of 27 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29327 + ... + 46449.

Almost surely, 2^648756224 is an apocalyptic number.

648756224 is a gapful number since it is divisible by the number (64) 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 648756224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666003732).

648756224 is an abundant number, since it is smaller than the sum of its proper divisors (683251240).

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

648756224 is a wasteful number, since it uses less digits than its factorization.

648756224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17180 (or 17162 counting only the distinct ones).

The product of its digits is 645120, while the sum is 44.

The square root of 648756224 is about 25470.6934338270. The cubic root of 648756224 is about 865.6862359317.

The spelling of 648756224 in words is "six hundred forty-eight million, seven hundred fifty-six thousand, two hundred twenty-four".