268787862 has 64 divisors (see below), whose sum is σ = 691353600. Its totient is φ = 75816000.

The previous prime is 268787861. The next prime is 268787881.

268787862 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 268787799 and 268787808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268787861) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25362 + ... + 34362.

It is an arithmetic number, because the mean of its divisors is an integer number (10802400).

Almost surely, 2^268787862 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268787862, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345676800).

268787862 is an abundant number, since it is smaller than the sum of its proper divisors (422565738).

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

268787862 is a wasteful number, since it uses less digits than its factorization.

268787862 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9098 (or 9092 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The square root of 268787862 is about 16394.7510502600. The cubic root of 268787862 is about 645.3617440786.

The spelling of 268787862 in words is "two hundred sixty-eight million, seven hundred eighty-seven thousand, eight hundred sixty-two".