206557000 has 64 divisors (see below), whose sum is σ = 520556400. Its totient is φ = 76262400.

The previous prime is 206556989. The next prime is 206557007. The reversal of 206557000 is 755602.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5541316 + 201015684 = 2354^2 + 14178^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206557007) 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, 5056 + ... + 20944.

Almost surely, 2^206557000 is an apocalyptic number.

206557000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206557000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260278200).

206557000 is an abundant number, since it is smaller than the sum of its proper divisors (313999400).

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

206557000 is a wasteful number, since it uses less digits than its factorization.

206557000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15923 (or 15909 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 25.

The square root of 206557000 is about 14372.0910100096. The cubic root of 206557000 is about 591.1258784991.

The spelling of 206557000 in words is "two hundred six million, five hundred fifty-seven thousand".