647580 has 48 divisors (see below), whose sum is σ = 1862784. Its totient is φ = 168000.

The previous prime is 647579. The next prime is 647587. The reversal of 647580 is 85746.

It is a happy number.

647580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 647580.

It is not an unprimeable number, because it can be changed into a prime (647587) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2455 + ... + 2705.

It is an arithmetic number, because the mean of its divisors is an integer number (38808).

2⁶⁴⁷⁵⁸⁰ is an apocalyptic number.

647580 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 647580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931392).

647580 is an abundant number, since it is smaller than the sum of its proper divisors (1215204).

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

647580 is a wasteful number, since it uses less digits than its factorization.

647580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 647580 is about 804.7235550175. The cubic root of 647580 is about 86.5162743500.

It can be divided in two parts, 6475 and 80, that added together give a triangular number (6555 = T₁₁₄).

The spelling of 647580 in words is "six hundred forty-seven thousand, five hundred eighty".