268271641 has 9 divisors (see below), whose sum is σ = 295075263. Its totient is φ = 243719520.

The previous prime is 268271617. The next prime is 268271677. The reversal of 268271641 is 146172862.

The square root of 268271641 is 16379.

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., 57441241 + 210830400 = 7579^2 + 14520^2 .

It is not a de Polignac number, because 268271641 - 2¹³ = 268263449 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 268271641.

It is not an unprimeable number, because it can be changed into a prime (268271741) 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, 179425 + ... + 180913.

Almost surely, 2^268271641 is an apocalyptic number.

268271641 is the 16379-th square number.

268271641 is the 8190-th centered octagonal number.

It is an amenable number.

268271641 is a deficient number, since it is larger than the sum of its proper divisors (26803622).

268271641 is an frugal number, since it uses more digits than its factorization.

268271641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3000 (or 1500 counting only the distinct ones).

The product of its digits is 32256, while the sum is 37.

The cubic root of 268271641 is about 644.9483290939.

The spelling of 268271641 in words is "two hundred sixty-eight million, two hundred seventy-one thousand, six hundred forty-one".