268388640 has 384 divisors, whose sum is σ = 1041465600. Its totient is φ = 64945152.

The previous prime is 268388609. The next prime is 268388641. The reversal of 268388640 is 46883862.

It is a happy number.

268388640 is a `hidden beast` number, since 268 + 388 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268388641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4548931 + ... + 4548989.

It is an arithmetic number, because the mean of its divisors is an integer number (2712150).

Almost surely, 2^268388640 is an apocalyptic number.

268388640 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 268388640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520732800).

268388640 is an abundant number, since it is smaller than the sum of its proper divisors (773076960).

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

268388640 is an equidigital number, since it uses as much as digits as its factorization.

268388640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 268388640 is about 16382.5712267641. The cubic root of 268388640 is about 645.0420740537.

The spelling of 268388640 in words is "two hundred sixty-eight million, three hundred eighty-eight thousand, six hundred forty".