268931920 has 40 divisors (see below), whose sum is σ = 635528520. Its totient is φ = 105807360.

The previous prime is 268931917. The next prime is 268931953. The reversal of 268931920 is 29139862.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11778624 + 257153296 = 3432^2 + 16036^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 22675 + ... + 32434.

It is an arithmetic number, because the mean of its divisors is an integer number (15888213).

Almost surely, 2^268931920 is an apocalyptic number.

268931920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268931920 is an abundant number, since it is smaller than the sum of its proper divisors (366596600).

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

268931920 is a wasteful number, since it uses less digits than its factorization.

268931920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55183 (or 55177 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 268931920 is about 16399.1438800933. The cubic root of 268931920 is about 645.4770182794.

The spelling of 268931920 in words is "two hundred sixty-eight million, nine hundred thirty-one thousand, nine hundred twenty".