268254756 has 288 divisors, whose sum is σ = 905748480. Its totient is φ = 64915200.

The previous prime is 268254751. The next prime is 268254793. The reversal of 268254756 is 657452862.

268254756 is a `hidden beast` number, since 26 + 82 + 547 + 5 + 6 = 666.

It is a super-2 number, since 2×268254756² = 143921228233239072, which contains 22 as substring.

Its product of digits (806400) is a multiple of the sum of its prime factors (175).

It is not an unprimeable number, because it can be changed into a prime (268254751) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3778201 + ... + 3778271.

It is an arithmetic number, because the mean of its divisors is an integer number (3144960).

Almost surely, 2^268254756 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 268254756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452874240).

268254756 is an abundant number, since it is smaller than the sum of its proper divisors (637493724).

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

268254756 is a wasteful number, since it uses less digits than its factorization.

268254756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 170 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 268254756 is about 16378.4845452807. The cubic root of 268254756 is about 644.9347978078.

The spelling of 268254756 in words is "two hundred sixty-eight million, two hundred fifty-four thousand, seven hundred fifty-six".