268861896 has 64 divisors (see below), whose sum is σ = 753883200. Its totient is φ = 88775424.

The previous prime is 268861891. The next prime is 268861903. The reversal of 268861896 is 698168862.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (268861891) 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, 17296 + ... + 28928.

It is an arithmetic number, because the mean of its divisors is an integer number (11779425).

Almost surely, 2^268861896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268861896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376941600).

268861896 is an abundant number, since it is smaller than the sum of its proper divisors (485021304).

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

268861896 is a wasteful number, since it uses less digits than its factorization.

268861896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11755 (or 11745 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The square root of 268861896 is about 16397.0087515986. The cubic root of 268861896 is about 645.4209907090.

It can be divided in two parts, 26886 and 1896, that added together give a palindrome (28782).

The spelling of 268861896 in words is "two hundred sixty-eight million, eight hundred sixty-one thousand, eight hundred ninety-six".