648861696 has 288 divisors, whose sum is σ = 2207761920. Its totient is φ = 179748864.

The previous prime is 648861683. The next prime is 648861737. The reversal of 648861696 is 696168846.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6064075 + ... + 6064181.

It is an arithmetic number, because the mean of its divisors is an integer number (7665840).

Almost surely, 2^648861696 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 648861696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103880960).

648861696 is an abundant number, since it is smaller than the sum of its proper divisors (1558900224).

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

648861696 is a wasteful number, since it uses less digits than its factorization.

648861696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 166 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 648861696 is about 25472.7638076436. The cubic root of 648861696 is about 865.7331465728.

The spelling of 648861696 in words is "six hundred forty-eight million, eight hundred sixty-one thousand, six hundred ninety-six".