6671964 has 48 divisors (see below), whose sum is σ = 17655680. Its totient is φ = 1944000.

The previous prime is 6671963. The next prime is 6671969. The reversal of 6671964 is 4691766.

6671964 = 200² + 201² + ... + 303².

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6671963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1839 + ... + 4089.

Almost surely, 2^6671964 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 6671964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8827840).

6671964 is an abundant number, since it is smaller than the sum of its proper divisors (10983716).

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

6671964 is a wasteful number, since it uses less digits than its factorization.

6671964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2290 (or 2288 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 6671964 is about 2583.0145179615. The cubic root of 6671964 is about 188.2570423937.

The spelling of 6671964 in words is "six million, six hundred seventy-one thousand, nine hundred sixty-four".