268696960 has 128 divisors (see below), whose sum is σ = 754424640. Its totient is φ = 89579520.

The previous prime is 268696943. The next prime is 268696973. The reversal of 268696960 is 69696862.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 268696898 and 268696907.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164950 + ... + 166570.

Almost surely, 2^268696960 is an apocalyptic number.

268696960 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 268696960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377212320).

268696960 is an abundant number, since it is smaller than the sum of its proper divisors (485727680).

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

268696960 is a wasteful number, since it uses less digits than its factorization.

268696960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 52.

The square root of 268696960 is about 16391.9785260962. The cubic root of 268696960 is about 645.2889837397.

The spelling of 268696960 in words is "two hundred sixty-eight million, six hundred ninety-six thousand, nine hundred sixty".