268808176 has 120 divisors (see below), whose sum is σ = 672005600. Its totient is φ = 101426688.

The previous prime is 268808173. The next prime is 268808207. The reversal of 268808176 is 671808862.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268808171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 770050 + ... + 770398.

Almost surely, 2^268808176 is an apocalyptic number.

268808176 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268808176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336002800).

268808176 is an abundant number, since it is smaller than the sum of its proper divisors (403197424).

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

268808176 is a wasteful number, since it uses less digits than its factorization.

268808176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 46.

The square root of 268808176 is about 16395.3705661080. The cubic root of 268808176 is about 645.3780016930.

The spelling of 268808176 in words is "two hundred sixty-eight million, eight hundred eight thousand, one hundred seventy-six".