6557964 has 72 divisors (see below), whose sum is σ = 18768960. Its totient is φ = 1772064.

The previous prime is 6557963. The next prime is 6557977. The reversal of 6557964 is 4697556.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (6557963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10879 + ... + 11465.

It is an arithmetic number, because the mean of its divisors is an integer number (260680).

Almost surely, 2^6557964 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 6557964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9384480).

6557964 is an abundant number, since it is smaller than the sum of its proper divisors (12210996).

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

6557964 is a wasteful number, since it uses less digits than its factorization.

6557964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 618 counting only the distinct ones).

The product of its digits is 226800, while the sum is 42.

The square root of 6557964 is about 2560.8522019047. The cubic root of 6557964 is about 187.1786638332.

The spelling of 6557964 in words is "six million, five hundred fifty-seven thousand, nine hundred sixty-four".