647361648 has 60 divisors (see below), whose sum is σ = 1821276288. Its totient is φ = 214648320.

The previous prime is 647361643. The next prime is 647361661. The reversal of 647361648 is 846163746.

It is a happy number.

647361648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×647361648³ (a number of 27 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (647361643) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15736 + ... + 39272.

Almost surely, 2^647361648 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 647361648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910638144).

647361648 is an abundant number, since it is smaller than the sum of its proper divisors (1173914640).

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

647361648 is a wasteful number, since it uses less digits than its factorization.

647361648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23742 (or 23733 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 647361648 is about 25443.3026158162. The cubic root of 647361648 is about 865.0654936099.

It can be divided in two parts, 6473 and 61648, that added together give a square (68121 = 261²).

The spelling of 647361648 in words is "six hundred forty-seven million, three hundred sixty-one thousand, six hundred forty-eight".