648415872 has 192 divisors, whose sum is σ = 2080096200. Its totient is φ = 192503808.

The previous prime is 648415783. The next prime is 648415879. The reversal of 648415872 is 278514846.

648415872 is a `hidden beast` number, since 64 + 8 + 4 + 1 + 587 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 565678656 + 82737216 = 23784^2 + 9096^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (648415879) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 433558 + ... + 435050.

Almost surely, 2^648415872 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 648415872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040048100).

648415872 is an abundant number, since it is smaller than the sum of its proper divisors (1431680328).

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

648415872 is a wasteful number, since it uses less digits than its factorization.

648415872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1555 (or 1540 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 648415872 is about 25464.0113100823. The cubic root of 648415872 is about 865.5348233413.

It can be divided in two parts, 648 and 415872, that multiplied together give a square (269485056 = 16416²).

The spelling of 648415872 in words is "six hundred forty-eight million, four hundred fifteen thousand, eight hundred seventy-two".