647360 has 84 divisors (see below), whose sum is σ = 1871472. Its totient is φ = 208896.

The previous prime is 647359. The next prime is 647363. The reversal of 647360 is 63746.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 647360.

It is not an unprimeable number, because it can be changed into a prime (647363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38072 + ... + 38088.

2⁶⁴⁷³⁶⁰ 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 647360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935736).

647360 is an abundant number, since it is smaller than the sum of its proper divisors (1224112).

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

647360 is a wasteful number, since it uses less digits than its factorization.

647360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 647360 is about 804.5868505015. The cubic root of 647360 is about 86.5064759538.

The spelling of 647360 in words is "six hundred forty-seven thousand, three hundred sixty".