6497964 has 72 divisors (see below), whose sum is σ = 18280080. Its totient is φ = 1929600.

The previous prime is 6497957. The next prime is 6497969. The reversal of 6497964 is 4697946.

It is a super-2 number, since 2×6497964² = 84447072290592, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6497969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24022 + ... + 24290.

It is an arithmetic number, because the mean of its divisors is an integer number (253890).

Almost surely, 2^6497964 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 6497964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9140040).

6497964 is an abundant number, since it is smaller than the sum of its proper divisors (11782116).

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

6497964 is a wasteful number, since it uses less digits than its factorization.

6497964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 346 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 6497964 is about 2549.1104330727. The cubic root of 6497964 is about 186.6060701837.

The spelling of 6497964 in words is "six million, four hundred ninety-seven thousand, nine hundred sixty-four".