268539216 has 80 divisors (see below), whose sum is σ = 768188928. Its totient is φ = 80150400.

The previous prime is 268539211. The next prime is 268539221. The reversal of 268539216 is 612935862.

Added to its reverse (612935862) it gives a triangular number (881475078 = T₄₁₉₈₇).

It is an interprime number because it is at equal distance from previous prime (268539211) and next prime (268539221).

It is a super-2 number, since 2×268539216² = 144226621059789312, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268539211) 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, 31581 + ... + 39171.

Almost surely, 2^268539216 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 268539216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384094464).

268539216 is an abundant number, since it is smaller than the sum of its proper divisors (499649712).

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

268539216 is a wasteful number, since it uses less digits than its factorization.

268539216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7680 (or 7674 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The square root of 268539216 is about 16387.1661979733. The cubic root of 268539216 is about 645.1626823587.

Adding to 268539216 its reverse (612935862), we get a triangular number (881475078 = T₄₁₉₈₇).

The spelling of 268539216 in words is "two hundred sixty-eight million, five hundred thirty-nine thousand, two hundred sixteen".