648820900 has 288 divisors, whose sum is σ = 1861880832. Its totient is φ = 190771200.

The previous prime is 648820897. The next prime is 648820927. The reversal of 648820900 is 9028846.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 648820900.

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 95 ways as a sum of consecutive naturals, for example, 13804677 + ... + 13804723.

It is an arithmetic number, because the mean of its divisors is an integer number (6464864).

Almost surely, 2^648820900 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 648820900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930940416).

648820900 is an abundant number, since it is smaller than the sum of its proper divisors (1213059932).

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

648820900 is a wasteful number, since it uses less digits than its factorization.

648820900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 648820900 is about 25471.9630181892. The cubic root of 648820900 is about 865.7150023931.

It can be divided in two parts, 64 and 8820900, that multiplied together give a square (564537600 = 23760²).

The spelling of 648820900 in words is "six hundred forty-eight million, eight hundred twenty thousand, nine hundred".