268709760 has 192 divisors, whose sum is σ = 1012480560. Its totient is φ = 65126400.

The previous prime is 268709747. The next prime is 268709797. The reversal of 268709760 is 67907862.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 61240 + ... + 65480.

Almost surely, 2^268709760 is an apocalyptic number.

268709760 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 268709760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506240280).

268709760 is an abundant number, since it is smaller than the sum of its proper divisors (743770800).

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

268709760 is a wasteful number, since it uses less digits than its factorization.

268709760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4277 (or 4262 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 268709760 is about 16392.3689563162. The cubic root of 268709760 is about 645.2992301871.

The spelling of 268709760 in words is "two hundred sixty-eight million, seven hundred nine thousand, seven hundred sixty".