647538760 has 96 divisors (see below), whose sum is σ = 1610252280. Its totient is φ = 234178560.

The previous prime is 647538737. The next prime is 647538769. The reversal of 647538760 is 67835746.

It can be written as a sum of positive squares in 4 ways, for example, as 500595876 + 146942884 = 22374^2 + 12122^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 647538760.

It is not an unprimeable number, because it can be changed into a prime (647538769) 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 23 ways as a sum of consecutive naturals, for example, 1630882 + ... + 1631278.

Almost surely, 2^647538760 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 647538760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805126140).

647538760 is an abundant number, since it is smaller than the sum of its proper divisors (962713520).

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

647538760 is a wasteful number, since it uses less digits than its factorization.

647538760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 46.

The square root of 647538760 is about 25446.7829007912. The cubic root of 647538760 is about 865.1443776513.

The spelling of 647538760 in words is "six hundred forty-seven million, five hundred thirty-eight thousand, seven hundred sixty".