268096820 has 24 divisors (see below), whose sum is σ = 578221224. Its totient is φ = 104340096.

The previous prime is 268096819. The next prime is 268096823. The reversal of 268096820 is 28690862.

It can be written as a sum of positive squares in 4 ways, for example, as 85414564 + 182682256 = 9242^2 + 13516^2 .

It is a super-2 number, since 2×268096820² = 143751809788224800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268096823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 180407 + ... + 181886.

It is an arithmetic number, because the mean of its divisors is an integer number (24092551).

Almost surely, 2^268096820 is an apocalyptic number.

268096820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268096820 is an abundant number, since it is smaller than the sum of its proper divisors (310124404).

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

268096820 is a wasteful number, since it uses less digits than its factorization.

268096820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362339 (or 362337 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The square root of 268096820 is about 16373.6623881159. The cubic root of 268096820 is about 644.8082036949.

The spelling of 268096820 in words is "two hundred sixty-eight million, ninety-six thousand, eight hundred twenty".