268640 has 48 divisors (see below), whose sum is σ = 671328. Its totient is φ = 101376.

The previous prime is 268637. The next prime is 268643. The reversal of 268640 is 46862.

It is an interprime number because it is at equal distance from previous prime (268637) and next prime (268643).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3644 + ... + 3716.

It is an arithmetic number, because the mean of its divisors is an integer number (13986).

2²⁶⁸⁶⁴⁰ is an apocalyptic number.

268640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335664).

268640 is an abundant number, since it is smaller than the sum of its proper divisors (402688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

268640 is a wasteful number, since it uses less digits than its factorization.

268640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 268640 is about 518.3049295540. The cubic root of 268640 is about 64.5243383102.

The spelling of 268640 in words is "two hundred sixty-eight thousand, six hundred forty".