268952 has 8 divisors (see below), whose sum is σ = 504300. Its totient is φ = 134472.

The previous prime is 268937. The next prime is 268969. The reversal of 268952 is 259862.

It is a tau number, because it is divible by the number of its divisors (8).

It is a d-powerful number, because it can be written as 2 + 6³ + 9⁴ + 8⁶ + 5² + 2² .

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16802 + ... + 16817.

2²⁶⁸⁹⁵² is an apocalyptic number.

It is an amenable number.

268952 is a deficient number, since it is larger than the sum of its proper divisors (235348).

268952 is a wasteful number, since it uses less digits than its factorization.

268952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33625 (or 33621 counting only the distinct ones).

The product of its digits is 8640, while the sum is 32.

The square root of 268952 is about 518.6058233379. The cubic root of 268952 is about 64.5493082885.

The spelling of 268952 in words is "two hundred sixty-eight thousand, nine hundred fifty-two".