206505140 has 48 divisors (see below), whose sum is σ = 448156800. Its totient is φ = 79869312.

The previous prime is 206505139. The next prime is 206505149. The reversal of 206505140 is 41505602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206505149) 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, 131681 + ... + 133239.

It is an arithmetic number, because the mean of its divisors is an integer number (9336600).

Almost surely, 2^206505140 is an apocalyptic number.

206505140 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 206505140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224078400).

206505140 is an abundant number, since it is smaller than the sum of its proper divisors (241651660).

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

206505140 is a wasteful number, since it uses less digits than its factorization.

206505140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1784 (or 1782 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 206505140 is about 14370.2867055602. The cubic root of 206505140 is about 591.0764032873.

The spelling of 206505140 in words is "two hundred six million, five hundred five thousand, one hundred forty".