206364000 has 192 divisors, whose sum is σ = 700539840. Its totient is φ = 53043200.

The previous prime is 206363939. The next prime is 206364007. The reversal of 206364000 is 463602.

It is a super-2 number, since 2×206364000² = 85172200992000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206364007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 347704 + ... + 348296.

It is an arithmetic number, because the mean of its divisors is an integer number (3648645).

Almost surely, 2^206364000 is an apocalyptic number.

206364000 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 206364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350269920).

206364000 is an abundant number, since it is smaller than the sum of its proper divisors (494175840).

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

206364000 is a wasteful number, since it uses less digits than its factorization.

206364000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 206364000 is about 14365.3750386128. The cubic root of 206364000 is about 590.9417116652.

The spelling of 206364000 in words is "two hundred six million, three hundred sixty-four thousand".