268417688 has 72 divisors (see below), whose sum is σ = 643626900. Its totient is φ = 104559840.

The previous prime is 268417679. The next prime is 268417697. The reversal of 268417688 is 886714862.

It is an interprime number because it is at equal distance from previous prime (268417679) and next prime (268417697).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 44603 + ... + 50261.

Almost surely, 2^268417688 is an apocalyptic number.

268417688 is a gapful number since it is divisible by the number (28) 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 268417688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321813450).

268417688 is an abundant number, since it is smaller than the sum of its proper divisors (375209212).

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

268417688 is a wasteful number, since it uses less digits than its factorization.

268417688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5701 (or 5679 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 50.

The square root of 268417688 is about 16383.4577546988. The cubic root of 268417688 is about 645.0653444204.

The spelling of 268417688 in words is "two hundred sixty-eight million, four hundred seventeen thousand, six hundred eighty-eight".