268118180 has 48 divisors (see below), whose sum is σ = 624335040. Its totient is φ = 95894400.

The previous prime is 268118171. The next prime is 268118183. The reversal of 268118180 is 81811862.

It is a self number, because there is not a number n which added to its sum of digits gives 268118180.

It is not an unprimeable number, because it can be changed into a prime (268118183) 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, 3431 + ... + 23409.

It is an arithmetic number, because the mean of its divisors is an integer number (13006980).

Almost surely, 2^268118180 is an apocalyptic number.

268118180 is a gapful number since it is divisible by the number (20) 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 268118180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312167520).

268118180 is an abundant number, since it is smaller than the sum of its proper divisors (356216860).

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

268118180 is a wasteful number, since it uses less digits than its factorization.

268118180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20060 (or 20058 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 35.

The square root of 268118180 is about 16374.3146421461. The cubic root of 268118180 is about 644.8253277790.

The spelling of 268118180 in words is "two hundred sixty-eight million, one hundred eighteen thousand, one hundred eighty".