205374664 has 32 divisors (see below), whose sum is σ = 420654240. Its totient is φ = 93225600.

The previous prime is 205374661. The next prime is 205374677. The reversal of 205374664 is 466473502.

It is a super-2 number, since 2×205374664² = 84357505226225792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (205374661) 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 7 ways as a sum of consecutive naturals, for example, 102052 + ... + 104044.

It is an arithmetic number, because the mean of its divisors is an integer number (13145445).

Almost surely, 2^205374664 is an apocalyptic number.

It is an amenable number.

205374664 is an abundant number, since it is smaller than the sum of its proper divisors (215279576).

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

205374664 is a wasteful number, since it uses less digits than its factorization.

205374664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3181 (or 3177 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 37.

The square root of 205374664 is about 14330.8989250500. The cubic root of 205374664 is about 589.9958479072.

The spelling of 205374664 in words is "two hundred five million, three hundred seventy-four thousand, six hundred sixty-four".