206261020 has 48 divisors (see below), whose sum is σ = 496742400. Its totient is φ = 70473024.

The previous prime is 206260993. The next prime is 206261039. The reversal of 206261020 is 20162602.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 40581 + ... + 45379.

It is an arithmetic number, because the mean of its divisors is an integer number (10348800).

Almost surely, 2^206261020 is an apocalyptic number.

206261020 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 206261020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248371200).

206261020 is an abundant number, since it is smaller than the sum of its proper divisors (290481380).

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

206261020 is a wasteful number, since it uses less digits than its factorization.

206261020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5122 (or 5120 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 206261020 is about 14361.7902783741. The cubic root of 206261020 is about 590.8433978395.

The spelling of 206261020 in words is "two hundred six million, two hundred sixty-one thousand, twenty".