205193664 has 168 divisors, whose sum is σ = 644418320. Its totient is φ = 62042112.

The previous prime is 205193657. The next prime is 205193693. The reversal of 205193664 is 466391502.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 501492 + ... + 501900.

Almost surely, 2^205193664 is an apocalyptic number.

205193664 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 205193664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322209160).

205193664 is an abundant number, since it is smaller than the sum of its proper divisors (439224656).

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

205193664 is a wasteful number, since it uses less digits than its factorization.

205193664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 205193664 is about 14324.5825070052. The cubic root of 205193664 is about 589.8224726825.

The spelling of 205193664 in words is "two hundred five million, one hundred ninety-three thousand, six hundred sixty-four".