268477776 has 120 divisors (see below), whose sum is σ = 869319360. Its totient is φ = 75760128.

The previous prime is 268477751. The next prime is 268477801. The reversal of 268477776 is 677774862.

It is an interprime number because it is at equal distance from previous prime (268477751) and next prime (268477801).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82060 + ... + 85268.

It is an arithmetic number, because the mean of its divisors is an integer number (7244328).

Almost surely, 2^268477776 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 268477776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434659680).

268477776 is an abundant number, since it is smaller than the sum of its proper divisors (600841584).

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

268477776 is a wasteful number, since it uses less digits than its factorization.

268477776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3313 (or 3304 counting only the distinct ones).

The product of its digits is 5531904, while the sum is 54.

The square root of 268477776 is about 16385.2914530075. The cubic root of 268477776 is about 645.1134756181.

The spelling of 268477776 in words is "two hundred sixty-eight million, four hundred seventy-seven thousand, seven hundred seventy-six".