648213300 has 144 divisors (see below), whose sum is σ = 2381653120. Its totient is φ = 148158720.

The previous prime is 648213287. The next prime is 648213341. The reversal of 648213300 is 3312846.

It is a happy number.

648213300 is a `hidden beast` number, since 648 + 2 + 13 + 3 + 0 + 0 = 666.

648213300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1752 + ... + 36048.

Almost surely, 2^648213300 is an apocalyptic number.

648213300 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 648213300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190826560).

648213300 is an abundant number, since it is smaller than the sum of its proper divisors (1733439820).

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

648213300 is a wasteful number, since it uses less digits than its factorization.

648213300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34327 (or 34314 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 648213300 is about 25460.0333856812. The cubic root of 648213300 is about 865.4446798651. Note that the first 3 decimals are identical.

It can be divided in two parts, 64821 and 3300, that added together give a square (68121 = 261²).

The spelling of 648213300 in words is "six hundred forty-eight million, two hundred thirteen thousand, three hundred".