648963840 has 216 divisors, whose sum is σ = 2411715600. Its totient is φ = 148291584.

The previous prime is 648963839. The next prime is 648963863. The reversal of 648963840 is 48369846.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 648963840.

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 23 ways as a sum of consecutive naturals, for example, 186436 + ... + 189884.

It is an arithmetic number, because the mean of its divisors is an integer number (11165350).

Almost surely, 2^648963840 is an apocalyptic number.

648963840 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 648963840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205857800).

648963840 is an abundant number, since it is smaller than the sum of its proper divisors (1762751760).

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

648963840 is a wasteful number, since it uses less digits than its factorization.

648963840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3487 (or 3466 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The square root of 648963840 is about 25474.7686937487. The cubic root of 648963840 is about 865.7785721785.

The spelling of 648963840 in words is "six hundred forty-eight million, nine hundred sixty-three thousand, eight hundred forty".