207129664 has 63 divisors (see below), whose sum is σ = 479996373. Its totient is φ = 88424448.

The previous prime is 207129661. The next prime is 207129691. The reversal of 207129664 is 466921702.

The square root of 207129664 is 14392.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 203918400 + 3211264 = 14280^2 + 1792^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (207129661) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 805824 + ... + 806080.

Almost surely, 2^207129664 is an apocalyptic number.

207129664 is the 14392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 207129664

207129664 is an abundant number, since it is smaller than the sum of its proper divisors (272866709).

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

207129664 is an frugal number, since it uses more digits than its factorization.

207129664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The cubic root of 207129664 is about 591.6716586852.

The spelling of 207129664 in words is "two hundred seven million, one hundred twenty-nine thousand, six hundred sixty-four".