368985681 has 27 divisors (see below), whose sum is σ = 564181371. Its totient is φ = 232352064.

The previous prime is 368985671. The next prime is 368985707. The reversal of 368985681 is 186589863.

The square root of 368985681 is 19209.

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., 99500625 + 269485056 = 9975^2 + 16416^2 .

It is not a de Polignac number, because 368985681 - 2⁵ = 368985649 is a prime.

It is a super-2 number, since 2×368985681² = 272300865566067522, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (368985671) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1094745 + ... + 1095081.

Almost surely, 2^368985681 is an apocalyptic number.

368985681 is the 19209-th square number.

368985681 is the 9605-th centered octagonal number.

It is an amenable number.

368985681 is a deficient number, since it is larger than the sum of its proper divisors (195195690).

368985681 is an equidigital number, since it uses as much as digits as its factorization.

368985681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 359 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The cubic root of 368985681 is about 717.2488121846.

It can be divided in two parts, 368 and 985681, that added together give a square (986049 = 993²).

The spelling of 368985681 in words is "three hundred sixty-eight million, nine hundred eighty-five thousand, six hundred eighty-one".