268096860 has 72 divisors (see below), whose sum is σ = 814662576. Its totient is φ = 71366400.

The previous prime is 268096853. The next prime is 268096867. The reversal of 268096860 is 68690862.

It is an interprime number because it is at equal distance from previous prime (268096853) and next prime (268096867).

It is a super-4 number, since 4×268096860⁴ (a number of 35 digits) contains 4444 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268096867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147960 + ... + 149760.

It is an arithmetic number, because the mean of its divisors is an integer number (11314758).

Almost surely, 2^268096860 is an apocalyptic number.

268096860 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268096860 is an abundant number, since it is smaller than the sum of its proper divisors (546565716).

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

268096860 is a wasteful number, since it uses less digits than its factorization.

268096860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2643 (or 2638 counting only the distinct ones).

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

The square root of 268096860 is about 16373.6636095896. The cubic root of 268096860 is about 644.8082357633.

The spelling of 268096860 in words is "two hundred sixty-eight million, ninety-six thousand, eight hundred sixty".