268365660 has 48 divisors (see below), whose sum is σ = 755951616. Its totient is φ = 71132992.

The previous prime is 268365637. The next prime is 268365661. The reversal of 268365660 is 66563862.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268365661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3372 + ... + 23411.

It is an arithmetic number, because the mean of its divisors is an integer number (15748992).

Almost surely, 2^268365660 is an apocalyptic number.

268365660 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 268365660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377975808).

268365660 is an abundant number, since it is smaller than the sum of its proper divisors (487585956).

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

268365660 is a wasteful number, since it uses less digits than its factorization.

268365660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26962 (or 26960 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 268365660 is about 16381.8698566433. The cubic root of 268365660 is about 645.0236635751.

The spelling of 268365660 in words is "two hundred sixty-eight million, three hundred sixty-five thousand, six hundred sixty".