647760 has 40 divisors (see below), whose sum is σ = 2008800. Its totient is φ = 172672.

The previous prime is 647753. The next prime is 647771. The reversal of 647760 is 67746.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 647760.

It is an unprimeable number.

647760 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1110 + ... + 1589.

It is an arithmetic number, because the mean of its divisors is an integer number (50220).

2⁶⁴⁷⁷⁶⁰ is an apocalyptic number.

647760 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

647760 is an abundant number, since it is smaller than the sum of its proper divisors (1361040).

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

647760 is a wasteful number, since it uses less digits than its factorization.

647760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2715 (or 2709 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 647760 is about 804.8353868960. The cubic root of 647760 is about 86.5242895691.

The spelling of 647760 in words is "six hundred forty-seven thousand, seven hundred sixty".