6557000 has 64 divisors (see below), whose sum is σ = 15724800. Its totient is φ = 2558400.

The previous prime is 6556999. The next prime is 6557003. The reversal of 6557000 is 7556.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6557003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78959 + ... + 79041.

It is an arithmetic number, because the mean of its divisors is an integer number (245700).

Almost surely, 2^6557000 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 6557000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7862400).

6557000 is an abundant number, since it is smaller than the sum of its proper divisors (9167800).

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

6557000 is a wasteful number, since it uses less digits than its factorization.

6557000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 23.

The square root of 6557000 is about 2560.6639763936. The cubic root of 6557000 is about 187.1694918262.

The spelling of 6557000 in words is "six million, five hundred fifty-seven thousand".