268487829 has 48 divisors (see below), whose sum is σ = 420076800. Its totient is φ = 164884608.

The previous prime is 268487801. The next prime is 268487831. The reversal of 268487829 is 928784862.

It is not a de Polignac number, because 268487829 - 2⁵ = 268487797 is a prime.

It is a super-2 number, since 2×268487829² = 144171428642266482, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268487729) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 527227 + ... + 527735.

It is an arithmetic number, because the mean of its divisors is an integer number (8751600).

Almost surely, 2^268487829 is an apocalyptic number.

268487829 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

268487829 is a deficient number, since it is larger than the sum of its proper divisors (151588971).

268487829 is a wasteful number, since it uses less digits than its factorization.

268487829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 631 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 268487829 is about 16385.5982191680. The cubic root of 268487829 is about 645.1215274886.

The spelling of 268487829 in words is "two hundred sixty-eight million, four hundred eighty-seven thousand, eight hundred twenty-nine".