268999680 has 176 divisors, whose sum is σ = 874871424. Its totient is φ = 70533120.

The previous prime is 268999673. The next prime is 268999681. The reversal of 268999680 is 86999862.

It is a self number, because there is not a number n which added to its sum of digits gives 268999680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268999681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1274775 + ... + 1274985.

Almost surely, 2^268999680 is an apocalyptic number.

268999680 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 268999680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437435712).

268999680 is an abundant number, since it is smaller than the sum of its proper divisors (605871744).

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

268999680 is a wasteful number, since it uses less digits than its factorization.

268999680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 57.

The square root of 268999680 is about 16401.2097114817. The cubic root of 268999680 is about 645.5312251210.

The spelling of 268999680 in words is "two hundred sixty-eight million, nine hundred ninety-nine thousand, six hundred eighty".