268729056 has 96 divisors (see below), whose sum is σ = 817931520. Its totient is φ = 85675392.

The previous prime is 268729001. The next prime is 268729061. The reversal of 268729056 is 650927862.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×268729056² = 144430611077302272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13111 + ... + 26633.

It is an arithmetic number, because the mean of its divisors is an integer number (8520120).

Almost surely, 2^268729056 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 268729056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408965760).

268729056 is an abundant number, since it is smaller than the sum of its proper divisors (549202464).

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

268729056 is a wasteful number, since it uses less digits than its factorization.

268729056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13565 (or 13551 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 268729056 is about 16392.9575122978. The cubic root of 268729056 is about 645.3146760917.

The spelling of 268729056 in words is "two hundred sixty-eight million, seven hundred twenty-nine thousand, fifty-six".