207129216 has 128 divisors (see below), whose sum is σ = 633346560. Its totient is φ = 58752000.

The previous prime is 207129211. The next prime is 207129233. The reversal of 207129216 is 612921702.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (207129211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 674535 + ... + 674841.

It is an arithmetic number, because the mean of its divisors is an integer number (4948020).

Almost surely, 2^207129216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 207129216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316673280).

207129216 is an abundant number, since it is smaller than the sum of its proper divisors (426217344).

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

207129216 is a wasteful number, since it uses less digits than its factorization.

207129216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 207129216 is about 14391.9844357892. The cubic root of 207129216 is about 591.6712321101.

The spelling of 207129216 in words is "two hundred seven million, one hundred twenty-nine thousand, two hundred sixteen".