268144761 has 16 divisors (see below), whose sum is σ = 371732480. Its totient is φ = 171743760.

The previous prime is 268144733. The next prime is 268144771. The reversal of 268144761 is 167441862.

It is not a de Polignac number, because 268144761 - 2¹⁵ = 268111993 is a prime.

It is a super-2 number, since 2×268144761² = 143803225703494242, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (268144771) 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, 2556 + ... + 23298.

It is an arithmetic number, because the mean of its divisors is an integer number (23233280).

Almost surely, 2^268144761 is an apocalyptic number.

It is an amenable number.

268144761 is a deficient number, since it is larger than the sum of its proper divisors (103587719).

268144761 is a wasteful number, since it uses less digits than its factorization.

268144761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20916.

The product of its digits is 64512, while the sum is 39.

The square root of 268144761 is about 16375.1262895893. The cubic root of 268144761 is about 644.8466362130.

The spelling of 268144761 in words is "two hundred sixty-eight million, one hundred forty-four thousand, seven hundred sixty-one".