648254880 has 768 divisors, whose sum is σ = 2987228160. Its totient is φ = 127401984.

The previous prime is 648254851. The next prime is 648254881. The reversal of 648254880 is 88452846.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (648254881) 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 127 ways as a sum of consecutive naturals, for example, 6682992 + ... + 6683088.

It is an arithmetic number, because the mean of its divisors is an integer number (3889620).

Almost surely, 2^648254880 is an apocalyptic number.

648254880 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 648254880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493614080).

648254880 is an abundant number, since it is smaller than the sum of its proper divisors (2338973280).

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

648254880 is a wasteful number, since it uses less digits than its factorization.

648254880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 648254880 is about 25460.8499465356. The cubic root of 648254880 is about 865.4631842784.

The spelling of 648254880 in words is "six hundred forty-eight million, two hundred fifty-four thousand, eight hundred eighty".