268468820 has 24 divisors (see below), whose sum is σ = 577537128. Its totient is φ = 104768000.

The previous prime is 268468813. The next prime is 268468831. The reversal of 268468820 is 28864862.

It can be written as a sum of positive squares in 4 ways, for example, as 1669264 + 266799556 = 1292^2 + 16334^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162881 + ... + 164520.

It is an arithmetic number, because the mean of its divisors is an integer number (24064047).

Almost surely, 2^268468820 is an apocalyptic number.

268468820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268468820 is an abundant number, since it is smaller than the sum of its proper divisors (309068308).

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

268468820 is a wasteful number, since it uses less digits than its factorization.

268468820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327451 (or 327449 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 44.

The square root of 268468820 is about 16385.0181568407. The cubic root of 268468820 is about 645.1063022118.

The spelling of 268468820 in words is "two hundred sixty-eight million, four hundred sixty-eight thousand, eight hundred twenty".