268866900 has 108 divisors (see below), whose sum is σ = 892372572. Its totient is φ = 67476480.

The previous prime is 268866893. The next prime is 268866907. The reversal of 268866900 is 9668862.

It is an interprime number because it is at equal distance from previous prime (268866893) and next prime (268866907).

It can be written as a sum of positive squares in 6 ways, for example, as 3111696 + 265755204 = 1764^2 + 16302^2 .

It is a super-2 number, since 2×268866900² = 144578819831220000, which contains 22 as substring.

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 (268866907) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6514 + ... + 24086.

It is an arithmetic number, because the mean of its divisors is an integer number (8262709).

Almost surely, 2^268866900 is an apocalyptic number.

268866900 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 268866900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446186286).

268866900 is an abundant number, since it is smaller than the sum of its proper divisors (623505672).

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

268866900 is a wasteful number, since it uses less digits than its factorization.

268866900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17610 (or 17600 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 268866900 is about 16397.1613396954. The cubic root of 268866900 is about 645.4249948299.

The spelling of 268866900 in words is "two hundred sixty-eight million, eight hundred sixty-six thousand, nine hundred".