268122764 has 48 divisors (see below), whose sum is σ = 580398336. Its totient is φ = 105537600.

The previous prime is 268122763. The next prime is 268122769. The reversal of 268122764 is 467221862.

It is not an unprimeable number, because it can be changed into a prime (268122763) 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, 75059 + ... + 78549.

It is an arithmetic number, because the mean of its divisors is an integer number (12091632).

Almost surely, 2^268122764 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268122764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290199168).

268122764 is an abundant number, since it is smaller than the sum of its proper divisors (312275572).

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

268122764 is a wasteful number, since it uses less digits than its factorization.

268122764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3726 (or 3724 counting only the distinct ones).

The product of its digits is 64512, while the sum is 38.

The square root of 268122764 is about 16374.4546168720. The cubic root of 268122764 is about 644.8290026043.

The spelling of 268122764 in words is "two hundred sixty-eight million, one hundred twenty-two thousand, seven hundred sixty-four".