268859136 has 144 divisors (see below), whose sum is σ = 880914944. Its totient is φ = 70889472.

The previous prime is 268859111. The next prime is 268859137. The reversal of 268859136 is 631958862.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268859137) 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, 67965 + ... + 71811.

Almost surely, 2^268859136 is an apocalyptic number.

268859136 is a gapful number since it is divisible by the number (26) 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 268859136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440457472).

268859136 is an abundant number, since it is smaller than the sum of its proper divisors (612055808).

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

268859136 is a wasteful number, since it uses less digits than its factorization.

268859136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3886 (or 3872 counting only the distinct ones).

The product of its digits is 622080, while the sum is 48.

The square root of 268859136 is about 16396.9245896906. The cubic root of 268859136 is about 645.4187821799.

The spelling of 268859136 in words is "two hundred sixty-eight million, eight hundred fifty-nine thousand, one hundred thirty-six".