268300060 has 96 divisors (see below), whose sum is σ = 679633920. Its totient is φ = 86980608.

The previous prime is 268300051. The next prime is 268300079. The reversal of 268300060 is 60003862.

It is a junction number, because it is equal to n+sod(n) for n = 268299998 and 268300034.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 311911 + ... + 312769.

It is an arithmetic number, because the mean of its divisors is an integer number (7079520).

Almost surely, 2^268300060 is an apocalyptic number.

268300060 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 268300060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339816960).

268300060 is an abundant number, since it is smaller than the sum of its proper divisors (411333860).

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

268300060 is a wasteful number, since it uses less digits than its factorization.

268300060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 268300060 is about 16379.8675208318. The cubic root of 268300060 is about 644.9711022047.

The spelling of 268300060 in words is "two hundred sixty-eight million, three hundred thousand, sixty".