268585000 has 40 divisors (see below), whose sum is σ = 629306370. Its totient is φ = 107432000.

The previous prime is 268584997. The next prime is 268585003. The reversal of 268585000 is 585862.

It is an interprime number because it is at equal distance from previous prime (268584997) and next prime (268585003).

It can be written as a sum of positive squares in 5 ways, for example, as 3090564 + 265494436 = 1758^2 + 16294^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (268585003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 21859 + ... + 31858.

Almost surely, 2^268585000 is an apocalyptic number.

268585000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268585000 is an abundant number, since it is smaller than the sum of its proper divisors (360721370).

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

268585000 is an equidigital number, since it uses as much as digits as its factorization.

268585000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53743 (or 53724 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The square root of 268585000 is about 16388.5630852738. The cubic root of 268585000 is about 645.1993454703.

The spelling of 268585000 in words is "two hundred sixty-eight million, five hundred eighty-five thousand".