268972 has 12 divisors (see below), whose sum is σ = 513576. Its totient is φ = 122240.

The previous prime is 268969. The next prime is 268973. The reversal of 268972 is 279862.

It is not an unprimeable number, because it can be changed into a prime (268973) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3013 + ... + 3100.

It is an arithmetic number, because the mean of its divisors is an integer number (42798).

2²⁶⁸⁹⁷² is an apocalyptic number.

268972 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

268972 is a deficient number, since it is larger than the sum of its proper divisors (244604).

268972 is a wasteful number, since it uses less digits than its factorization.

268972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6128 (or 6126 counting only the distinct ones).

The product of its digits is 12096, while the sum is 34.

The square root of 268972 is about 518.6251054471. The cubic root of 268972 is about 64.5509082694.

It can be divided in two parts, 26 and 8972, that added together give a palindrome (8998).

The spelling of 268972 in words is "two hundred sixty-eight thousand, nine hundred seventy-two".