647608320 has 144 divisors (see below), whose sum is σ = 2244813480. Its totient is φ = 172670976.

The previous prime is 647608303. The next prime is 647608327. The reversal of 647608320 is 23806746.

647608320 is a `hidden beast` number, since 6 + 47 + 608 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×647608320² = 838793072266444800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (647608327) 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 11 ways as a sum of consecutive naturals, for example, 88647 + ... + 95673.

Almost surely, 2^647608320 is an apocalyptic number.

647608320 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 647608320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122406740).

647608320 is an abundant number, since it is smaller than the sum of its proper divisors (1597205160).

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

647608320 is a wasteful number, since it uses less digits than its factorization.

647608320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7060 (or 7037 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 647608320 is about 25448.1496380385. The cubic root of 647608320 is about 865.1753550959.

The spelling of 647608320 in words is "six hundred forty-seven million, six hundred eight thousand, three hundred twenty".