268755552 has 144 divisors (see below), whose sum is σ = 859124448. Its totient is φ = 79073280.

The previous prime is 268755511. The next prime is 268755611. The reversal of 268755552 is 255557862.

268755552 is a `hidden beast` number, since 26 + 8 + 75 + 5 + 552 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 268755498 and 268755507.

It is a congruent number.

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, 84552 + ... + 87672.

It is an arithmetic number, because the mean of its divisors is an integer number (5966142).

Almost surely, 2^268755552 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 268755552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429562224).

268755552 is an abundant number, since it is smaller than the sum of its proper divisors (590368896).

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

268755552 is a wasteful number, since it uses less digits than its factorization.

268755552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3173 (or 3162 counting only the distinct ones).

The product of its digits is 840000, while the sum is 45.

The square root of 268755552 is about 16393.7656442930. The cubic root of 268755552 is about 645.3358841888.

It can be divided in two parts, 26 and 8755552, that added together give a palindrome (8755578).

The spelling of 268755552 in words is "two hundred sixty-eight million, seven hundred fifty-five thousand, five hundred fifty-two".