648175752 has 192 divisors, whose sum is σ = 2112364800. Its totient is φ = 175633920.

The previous prime is 648175739. The next prime is 648175763. The reversal of 648175752 is 257571846.

648175752 is a `hidden beast` number, since 64 + 8 + 17 + 575 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 648175698 and 648175707.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 891213 + ... + 891939.

It is an arithmetic number, because the mean of its divisors is an integer number (11001900).

Almost surely, 2^648175752 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 648175752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056182400).

648175752 is an abundant number, since it is smaller than the sum of its proper divisors (1464189048).

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

648175752 is a wasteful number, since it uses less digits than its factorization.

648175752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 829 counting only the distinct ones).

The product of its digits is 470400, while the sum is 45.

The square root of 648175752 is about 25459.2959839820. The cubic root of 648175752 is about 865.4279691393.

It can be divided in two parts, 648 and 175752, that added together give a square (176400 = 420²).

The spelling of 648175752 in words is "six hundred forty-eight million, one hundred seventy-five thousand, seven hundred fifty-two".