268292736 has 160 divisors (see below), whose sum is σ = 809018100. Its totient is φ = 88252416.

The previous prime is 268292729. The next prime is 268292737. The reversal of 268292736 is 637292862.

It can be written as a sum of positive squares in 2 ways, for example, as 267126336 + 1166400 = 16344^2 + 1080^2 .

It is a junction number, because it is equal to n+sod(n) for n = 268292691 and 268292700.

It is not an unprimeable number, because it can be changed into a prime (268292737) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1171470 + ... + 1171698.

Almost surely, 2^268292736 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 268292736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404509050).

268292736 is an abundant number, since it is smaller than the sum of its proper divisors (540725364).

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

268292736 is a wasteful number, since it uses less digits than its factorization.

268292736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 347 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 268292736 is about 16379.6439521743. The cubic root of 268292736 is about 644.9652333884.

The spelling of 268292736 in words is "two hundred sixty-eight million, two hundred ninety-two thousand, seven hundred thirty-six".