648164160 has 336 divisors, whose sum is σ = 2661635520. Its totient is φ = 148055040.

The previous prime is 648164149. The next prime is 648164161. The reversal of 648164160 is 61461846.

648164160 is a `hidden beast` number, since 6 + 4 + 8 + 1 + 641 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (648164161) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 422595 + ... + 424125.

Almost surely, 2^648164160 is an apocalyptic number.

648164160 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 648164160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330817760).

648164160 is an abundant number, since it is smaller than the sum of its proper divisors (2013471360).

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

648164160 is a wasteful number, since it uses less digits than its factorization.

648164160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1571 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 648164160 is about 25459.0683254513. The cubic root of 648164160 is about 865.4228099929.

The spelling of 648164160 in words is "six hundred forty-eight million, one hundred sixty-four thousand, one hundred sixty".