207968144 has 20 divisors (see below), whose sum is σ = 405272796. Its totient is φ = 103381632.

The previous prime is 207968071. The next prime is 207968147. The reversal of 207968144 is 441869702.

It can be written as a sum of positive squares in 2 ways, for example, as 179238544 + 28729600 = 13388^2 + 5360^2 .

It is a super-3 number, since 3×207968144³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (207968147) 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 3 ways as a sum of consecutive naturals, for example, 34799 + ... + 40334.

Almost surely, 2^207968144 is an apocalyptic number.

It is an amenable number.

207968144 is a deficient number, since it is larger than the sum of its proper divisors (197304652).

207968144 is a wasteful number, since it uses less digits than its factorization.

207968144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75314 (or 75308 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 41.

The square root of 207968144 is about 14421.1006514759. The cubic root of 207968144 is about 592.4689642927.

The spelling of 207968144 in words is "two hundred seven million, nine hundred sixty-eight thousand, one hundred forty-four".