268179072 has 256 divisors, whose sum is σ = 881280000. Its totient is φ = 70557696.

The previous prime is 268179061. The next prime is 268179113. The reversal of 268179072 is 270971862.

268179072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3013204 + ... + 3013292.

It is an arithmetic number, because the mean of its divisors is an integer number (3442500).

Almost surely, 2^268179072 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 268179072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440640000).

268179072 is an abundant number, since it is smaller than the sum of its proper divisors (613100928).

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

268179072 is a wasteful number, since it uses less digits than its factorization.

268179072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 268179072 is about 16376.1739121200. The cubic root of 268179072 is about 644.8741392543.

It can be divided in two parts, 2681790 and 72, that added together give a palindrome (2681862).

The spelling of 268179072 in words is "two hundred sixty-eight million, one hundred seventy-nine thousand, seventy-two".