648176256 has 384 divisors, whose sum is σ = 2391043200. Its totient is φ = 170201088.

The previous prime is 648176251. The next prime is 648176261. The reversal of 648176256 is 652671846.

648176256 is a `hidden beast` number, since 6 + 4 + 8 + 17 + 625 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (648176251) and next prime (648176261).

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (648176251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2830350 + ... + 2830578.

It is an arithmetic number, because the mean of its divisors is an integer number (6226675).

Almost surely, 2^648176256 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 648176256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195521600).

648176256 is an abundant number, since it is smaller than the sum of its proper divisors (1742866944).

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

648176256 is a wasteful number, since it uses less digits than its factorization.

648176256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 254 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 648176256 is about 25459.3058821328. The cubic root of 648176256 is about 865.4281934486.

The spelling of 648176256 in words is "six hundred forty-eight million, one hundred seventy-six thousand, two hundred fifty-six".