205082064 has 160 divisors (see below), whose sum is σ = 649958400. Its totient is φ = 61395840.

The previous prime is 205082063. The next prime is 205082089. The reversal of 205082064 is 460280502.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205082063) 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, 489247 + ... + 489665.

It is an arithmetic number, because the mean of its divisors is an integer number (4062240).

Almost surely, 2^205082064 is an apocalyptic number.

205082064 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 205082064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324979200).

205082064 is an abundant number, since it is smaller than the sum of its proper divisors (444876336).

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

205082064 is a wasteful number, since it uses less digits than its factorization.

205082064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 205082064 is about 14320.6865757198. The cubic root of 205082064 is about 589.7155231084.

The spelling of 205082064 in words is "two hundred five million, eighty-two thousand, sixty-four".