206005436 has 48 divisors (see below), whose sum is σ = 450379776. Its totient is φ = 80270784.

The previous prime is 206005417. The next prime is 206005469. The reversal of 206005436 is 634500602.

206005436 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20165 + ... + 28611.

It is an arithmetic number, because the mean of its divisors is an integer number (9382912).

Almost surely, 2^206005436 is an apocalyptic number.

206005436 is a gapful number since it is divisible by the number (26) 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 206005436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225189888).

206005436 is an abundant number, since it is smaller than the sum of its proper divisors (244374340).

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

206005436 is a wasteful number, since it uses less digits than its factorization.

206005436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8538 (or 8536 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 206005436 is about 14352.8894651913. The cubic root of 206005436 is about 590.5992532509.

The spelling of 206005436 in words is "two hundred six million, five thousand, four hundred thirty-six".