268119760 has 80 divisors (see below), whose sum is σ = 644601600. Its totient is φ = 103638528.

The previous prime is 268119743. The next prime is 268119779. The reversal of 268119760 is 67911862.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 707251 + ... + 707629.

It is an arithmetic number, because the mean of its divisors is an integer number (8057520).

Almost surely, 2^268119760 is an apocalyptic number.

268119760 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 268119760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322300800).

268119760 is an abundant number, since it is smaller than the sum of its proper divisors (376481840).

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

268119760 is a wasteful number, since it uses less digits than its factorization.

268119760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 40.

The square root of 268119760 is about 16374.3628883691. The cubic root of 268119760 is about 644.8265944120.

The spelling of 268119760 in words is "two hundred sixty-eight million, one hundred nineteen thousand, seven hundred sixty".