648211600 has 135 divisors (see below), whose sum is σ = 1668504537. Its totient is φ = 241971840.

The previous prime is 648211561. The next prime is 648211601. The reversal of 648211600 is 6112846.

The square root of 648211600 is 25460.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 233356176 + 414855424 = 15276^2 + 20368^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (648211601) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 9674767 + ... + 9674833.

Almost surely, 2^648211600 is an apocalyptic number.

648211600 is the 25460-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 648211600

648211600 is an abundant number, since it is smaller than the sum of its proper divisors (1020292937).

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

648211600 is a wasteful number, since it uses less digits than its factorization.

648211600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The cubic root of 648211600 is about 865.4439232946.

Multiplying 648211600 by its product of nonzero digits (2304), we get a square (1493479526400 = 1222080²).

The spelling of 648211600 in words is "six hundred forty-eight million, two hundred eleven thousand, six hundred".