268100168 has 36 divisors (see below), whose sum is σ = 585467235. Its totient is φ = 114761136.

The previous prime is 268100159. The next prime is 268100191. The reversal of 268100168 is 861001862.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 134050084 + 134050084 = 11578^2 + 11578^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=11578.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 323771 + ... + 324597.

Almost surely, 2^268100168 is an apocalyptic number.

268100168 is a gapful number since it is divisible by the number (28) 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 268100168

268100168 is an abundant number, since it is smaller than the sum of its proper divisors (317367067).

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

268100168 is an frugal number, since it uses more digits than its factorization.

268100168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1674 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 268100168 is about 16373.7646251557. The cubic root of 268100168 is about 644.8108878109.

Multiplying 268100168 by its sum of digits (32), we get a square (8579205376 = 92624²).

Multiplying 268100168 by its product of nonzero digits (4608), we get a square (1235405574144 = 1111488²).

The spelling of 268100168 in words is "two hundred sixty-eight million, one hundred thousand, one hundred sixty-eight".