206189064 has 80 divisors (see below), whose sum is σ = 607952400. Its totient is φ = 65108448.

The previous prime is 206189051. The next prime is 206189077. The reversal of 206189064 is 460981602.

It is an interprime number because it is at equal distance from previous prime (206189051) and next prime (206189077).

It is a super-2 number, since 2×206189064² = 85027860226392192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3939 + ... + 20685.

It is an arithmetic number, because the mean of its divisors is an integer number (7599405).

Almost surely, 2^206189064 is an apocalyptic number.

206189064 is a gapful number since it is divisible by the number (24) 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 206189064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303976200).

206189064 is an abundant number, since it is smaller than the sum of its proper divisors (401763336).

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

206189064 is a wasteful number, since it uses less digits than its factorization.

206189064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16784 (or 16771 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 206189064 is about 14359.2849404140. The cubic root of 206189064 is about 590.7746828486.

It can be divided in two parts, 2061 and 89064, that added together give a cube (91125 = 45³).

The spelling of 206189064 in words is "two hundred six million, one hundred eighty-nine thousand, sixty-four".