268729920 has 224 divisors, whose sum is σ = 998524800. Its totient is φ = 67848192.

The previous prime is 268729891. The next prime is 268729943. The reversal of 268729920 is 29927862.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163342 + ... + 164978.

It is an arithmetic number, because the mean of its divisors is an integer number (4457700).

Almost surely, 2^268729920 is an apocalyptic number.

268729920 is a gapful number since it is divisible by the number (20) 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 268729920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499262400).

268729920 is an abundant number, since it is smaller than the sum of its proper divisors (729794880).

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

268729920 is a wasteful number, since it uses less digits than its factorization.

268729920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 268729920 is about 16392.9838650564. The cubic root of 268729920 is about 645.3153676821.

The spelling of 268729920 in words is "two hundred sixty-eight million, seven hundred twenty-nine thousand, nine hundred twenty".