268207776 has 144 divisors (see below), whose sum is σ = 835871400. Its totient is φ = 81199104.

The previous prime is 268207763. The next prime is 268207799. The reversal of 268207776 is 677702862.

268207776 = T₈₄ + T₈₅ + ... + T₁₁₇₁.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 252810000 + 15397776 = 15900^2 + 3924^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×268207776² = 143870822213732352, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141040 + ... + 142928.

Almost surely, 2^268207776 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 268207776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417935700).

268207776 is an abundant number, since it is smaller than the sum of its proper divisors (567663624).

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

268207776 is a wasteful number, since it uses less digits than its factorization.

268207776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1951 (or 1940 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 268207776 is about 16377.0502838576. The cubic root of 268207776 is about 644.8971460296.

It can be divided in two parts, 26820 and 7776, that added together give a square (34596 = 186²).

The spelling of 268207776 in words is "two hundred sixty-eight million, two hundred seven thousand, seven hundred seventy-six".