205214064 has 120 divisors (see below), whose sum is σ = 590743440. Its totient is φ = 61332480.

The previous prime is 205214059. The next prime is 205214077. The reversal of 205214064 is 460412502.

It is a super-2 number, since 2×205214064² = 84225624126792192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 516714 + ... + 517110.

It is an arithmetic number, because the mean of its divisors is an integer number (4922862).

Almost surely, 2^205214064 is an apocalyptic number.

205214064 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 205214064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295371720).

205214064 is an abundant number, since it is smaller than the sum of its proper divisors (385529376).

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

205214064 is a wasteful number, since it uses less digits than its factorization.

205214064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 205214064 is about 14325.2945519455. The cubic root of 205214064 is about 589.8420184123.

Adding to 205214064 its reverse (460412502), we get a palindrome (665626566).

The spelling of 205214064 in words is "two hundred five million, two hundred fourteen thousand, sixty-four".