206745000 has 320 divisors, whose sum is σ = 809740800. Its totient is φ = 42720000.

The previous prime is 206744981. The next prime is 206745013. The reversal of 206745000 is 547602.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 1154911 + ... + 1155089.

It is an arithmetic number, because the mean of its divisors is an integer number (2530440).

Almost surely, 2^206745000 is an apocalyptic number.

206745000 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 206745000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404870400).

206745000 is an abundant number, since it is smaller than the sum of its proper divisors (602995800).

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

206745000 is a wasteful number, since it uses less digits than its factorization.

206745000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 206745000 is about 14378.6299764616. The cubic root of 206745000 is about 591.3051639043.

The spelling of 206745000 in words is "two hundred six million, seven hundred forty-five thousand".