647708160 has 480 divisors, whose sum is σ = 2468654496. Its totient is φ = 144179200.

The previous prime is 647708101. The next prime is 647708161. The reversal of 647708160 is 61807746.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (647708161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15797740 + ... + 15797780.

Almost surely, 2^647708160 is an apocalyptic number.

647708160 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 647708160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234327248).

647708160 is an abundant number, since it is smaller than the sum of its proper divisors (1820946336).

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

647708160 is a wasteful number, since it uses less digits than its factorization.

647708160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 647708160 is about 25450.1111981854. Note that the first 4 decimals coincide. The cubic root of 647708160 is about 865.2198133825.

It can be divided in two parts, 647 and 708160, that added together give a palindrome (708807).

The spelling of 647708160 in words is "six hundred forty-seven million, seven hundred eight thousand, one hundred sixty".