206261000 has 128 divisors (see below), whose sum is σ = 558005760. Its totient is φ = 70528000.

The previous prime is 206260993. The next prime is 206261039. The reversal of 206261000 is 162602.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 206261000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186449 + ... + 187551.

It is an arithmetic number, because the mean of its divisors is an integer number (4359420).

Almost surely, 2^206261000 is an apocalyptic number.

206261000 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 206261000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279002880).

206261000 is an abundant number, since it is smaller than the sum of its proper divisors (351744760).

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

206261000 is a wasteful number, since it uses less digits than its factorization.

206261000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 206261000 is about 14361.7895820820. The cubic root of 206261000 is about 590.8433787426.

The spelling of 206261000 in words is "two hundred six million, two hundred sixty-one thousand".