268686700 has 72 divisors (see below), whose sum is σ = 627709824. Its totient is φ = 99456000.

The previous prime is 268686689. The next prime is 268686701. The reversal of 268686700 is 7686862.

It is not an unprimeable number, because it can be changed into a prime (268686701) 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, 102405 + ... + 104995.

It is an arithmetic number, because the mean of its divisors is an integer number (8718192).

Almost surely, 2^268686700 is an apocalyptic number.

268686700 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 268686700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313854912).

268686700 is an abundant number, since it is smaller than the sum of its proper divisors (359023124).

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

268686700 is a wasteful number, since it uses less digits than its factorization.

268686700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2683 (or 2676 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The square root of 268686700 is about 16391.6655651584. The cubic root of 268686700 is about 645.2807703367.

The spelling of 268686700 in words is "two hundred sixty-eight million, six hundred eighty-six thousand, seven hundred".