268862000 has 160 divisors (see below), whose sum is σ = 722150208. Its totient is φ = 96800000.

The previous prime is 268861991. The next prime is 268862047. The reversal of 268862000 is 268862.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2661950 + ... + 2662050.

Almost surely, 2^268862000 is an apocalyptic number.

268862000 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 268862000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361075104).

268862000 is an abundant number, since it is smaller than the sum of its proper divisors (453288208).

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

268862000 is a wasteful number, since it uses less digits than its factorization.

268862000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 268862000 is about 16397.0119229084. The cubic root of 268862000 is about 645.4210739287.

268862000 divided by its reverse (268862) gives a cube (1000 = 10³).

It can be divided in two parts, 268 and 862000, that added together give a palindrome (862268).

The spelling of 268862000 in words is "two hundred sixty-eight million, eight hundred sixty-two thousand".