206401536 has 156 divisors (see below), whose sum is σ = 651675960. Its totient is φ = 62423040.

The previous prime is 206401519. The next prime is 206401537. The reversal of 206401536 is 635104602.

206401536 is a `hidden beast` number, since 2 + 0 + 640 + 15 + 3 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206401537) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 405250 + ... + 405758.

It is an arithmetic number, because the mean of its divisors is an integer number (4177410).

Almost surely, 2^206401536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206401536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325837980).

206401536 is an abundant number, since it is smaller than the sum of its proper divisors (445274424).

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

206401536 is a wasteful number, since it uses less digits than its factorization.

206401536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 206401536 is about 14366.6814539754. The cubic root of 206401536 is about 590.9775387205.

The spelling of 206401536 in words is "two hundred six million, four hundred one thousand, five hundred thirty-six".