6466960 has 40 divisors (see below), whose sum is σ = 15144120. Its totient is φ = 2568192.

The previous prime is 6466951. The next prime is 6466969. The reversal of 6466960 is 696646.

It is an interprime number because it is at equal distance from previous prime (6466951) and next prime (6466969).

It can be written as a sum of positive squares in 4 ways, for example, as 1679616 + 4787344 = 1296^2 + 2188^2 .

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

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6466969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18144 + ... + 18496.

It is an arithmetic number, because the mean of its divisors is an integer number (378603).

Almost surely, 2^6466960 is an apocalyptic number.

It is an amenable number.

6466960 is an abundant number, since it is smaller than the sum of its proper divisors (8677160).

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

6466960 is a wasteful number, since it uses less digits than its factorization.

6466960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The square root of 6466960 is about 2543.0218245229. The cubic root of 6466960 is about 186.3088098595.

The spelling of 6466960 in words is "six million, four hundred sixty-six thousand, nine hundred sixty".