268536384 has 168 divisors, whose sum is σ = 825447168. Its totient is φ = 86469120.

The previous prime is 268536383. The next prime is 268536391. The reversal of 268536384 is 483635862.

It is a happy number.

268536384 is a `hidden beast` number, since 2 + 6 + 8 + 5 + 3 + 638 + 4 = 666.

It is a super-2 number, since 2×268536384² = 144223579063590912, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (268536383) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 481834 + ... + 482390.

It is an arithmetic number, because the mean of its divisors is an integer number (4913376).

Almost surely, 2^268536384 is an apocalyptic number.

268536384 is a gapful number since it is divisible by the number (24) 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 268536384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412723584).

268536384 is an abundant number, since it is smaller than the sum of its proper divisors (556910784).

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

268536384 is an equidigital number, since it uses as much as digits as its factorization.

268536384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 593 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 268536384 is about 16387.0797886628. The cubic root of 268536384 is about 645.1604144005.

The spelling of 268536384 in words is "two hundred sixty-eight million, five hundred thirty-six thousand, three hundred eighty-four".