268125 has 40 divisors (see below), whose sum is σ = 524832. Its totient is φ = 120000.

The previous prime is 268123. The next prime is 268133. The reversal of 268125 is 521862.

It is not a de Polignac number, because 268125 - 2¹ = 268123 is a prime.

Its product of digits (960) is a multiple of the sum of its prime divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 268095 and 268104.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 268125.

It is not an unprimeable number, because it can be changed into a prime (268123) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20619 + ... + 20631.

2²⁶⁸¹²⁵ is an apocalyptic number.

268125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

268125 is a deficient number, since it is larger than the sum of its proper divisors (256707).

268125 is a wasteful number, since it uses less digits than its factorization.

268125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 32 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 268125 is about 517.8078794302. The cubic root of 268125 is about 64.4830795109.

Adding to 268125 its reverse (521862), we get a palindrome (789987).

It can be divided in two parts, 268 and 125, that added together give a palindrome (393).

The spelling of 268125 in words is "two hundred sixty-eight thousand, one hundred twenty-five".