647976 has 96 divisors (see below), whose sum is σ = 2052000. Its totient is φ = 169344.

The previous prime is 647963. The next prime is 647987. The reversal of 647976 is 679746.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 647976.

It is an unprimeable number.

647976 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 23 ways as a sum of consecutive naturals, for example, 22330 + ... + 22358.

It is an arithmetic number, because the mean of its divisors is an integer number (21375).

2⁶⁴⁷⁹⁷⁶ 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 647976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026000).

647976 is an abundant number, since it is smaller than the sum of its proper divisors (1404024).

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

647976 is a wasteful number, since it uses less digits than its factorization.

647976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 60 counting only the distinct ones).

The product of its digits is 63504, while the sum is 39.

The square root of 647976 is about 804.9695646420. The cubic root of 647976 is about 86.5339058722.

It can be divided in two parts, 6479 and 76, that added together give a triangular number (6555 = T₁₁₄).

The spelling of 647976 in words is "six hundred forty-seven thousand, nine hundred seventy-six".