206870000 has 100 divisors (see below), whose sum is σ = 507849936. Its totient is φ = 81600000.

The previous prime is 206869979. The next prime is 206870003. The reversal of 206870000 is 78602.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206870003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1369925 + ... + 1370075.

Almost surely, 2^206870000 is an apocalyptic number.

206870000 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 206870000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253924968).

206870000 is an abundant number, since it is smaller than the sum of its proper divisors (300979936).

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

206870000 is a wasteful number, since it uses less digits than its factorization.

206870000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 206870000 is about 14382.9760480924. The cubic root of 206870000 is about 591.4243094770.

The spelling of 206870000 in words is "two hundred six million, eight hundred seventy thousand".