268975960 has 64 divisors (see below), whose sum is σ = 662061600. Its totient is φ = 97536000.

The previous prime is 268975939. The next prime is 268975969. The reversal of 268975960 is 69579862.

It is a happy number.

268975960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 268975898 and 268975907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268975969) by changing a digit.

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, 223360 + ... + 224560.

Almost surely, 2^268975960 is an apocalyptic number.

268975960 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 268975960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331030800).

268975960 is an abundant number, since it is smaller than the sum of its proper divisors (393085640).

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

268975960 is a wasteful number, since it uses less digits than its factorization.

268975960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1732 (or 1728 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 52.

The square root of 268975960 is about 16400.4865781476. The cubic root of 268975960 is about 645.5122505621.

The spelling of 268975960 in words is "two hundred sixty-eight million, nine hundred seventy-five thousand, nine hundred sixty".