268680960 has 216 divisors, whose sum is σ = 944156304. Its totient is φ = 70533120.

The previous prime is 268680949. The next prime is 268680977. The reversal of 268680960 is 69086862.

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, 956020 + ... + 956300.

It is an arithmetic number, because the mean of its divisors is an integer number (4371094).

Almost surely, 2^268680960 is an apocalyptic number.

268680960 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 268680960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472078152).

268680960 is an abundant number, since it is smaller than the sum of its proper divisors (675475344).

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

268680960 is a wasteful number, since it uses less digits than its factorization.

268680960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 268680960 is about 16391.4904752435. The cubic root of 268680960 is about 645.2761752228.

The spelling of 268680960 in words is "two hundred sixty-eight million, six hundred eighty thousand, nine hundred sixty".