648126400 has 84 divisors (see below), whose sum is σ = 1625099112. Its totient is φ = 254325760.

The previous prime is 648126389. The next prime is 648126419. The reversal of 648126400 is 4621846.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80979 + ... + 88621.

It is an arithmetic number, because the mean of its divisors is an integer number (19346418).

Almost surely, 2^648126400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 648126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812549556).

648126400 is an abundant number, since it is smaller than the sum of its proper divisors (976972712).

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

648126400 is a wasteful number, since it uses less digits than its factorization.

648126400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7718 (or 7703 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 648126400 is about 25458.3267321323. The cubic root of 648126400 is about 865.4060040652.

The spelling of 648126400 in words is "six hundred forty-eight million, one hundred twenty-six thousand, four hundred".