268277760 has 288 divisors, whose sum is σ = 965895840. Its totient is φ = 68812800.

The previous prime is 268277749. The next prime is 268277761. The reversal of 268277760 is 67772862.

It is a happy number.

268277760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268277761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3778525 + ... + 3778595.

It is an arithmetic number, because the mean of its divisors is an integer number (3353805).

Almost surely, 2^268277760 is an apocalyptic number.

268277760 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 268277760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482947920).

268277760 is an abundant number, since it is smaller than the sum of its proper divisors (697618080).

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

268277760 is a wasteful number, since it uses less digits than its factorization.

268277760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 268277760 is about 16379.1867930004. The cubic root of 268277760 is about 644.9532325925.

The spelling of 268277760 in words is "two hundred sixty-eight million, two hundred seventy-seven thousand, seven hundred sixty".