268901648 has 80 divisors (see below), whose sum is σ = 587212416. Its totient is φ = 118609920.

The previous prime is 268901639. The next prime is 268901653. The reversal of 268901648 is 846109862.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 268901599 and 268901608.

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, 331163 + ... + 331973.

Almost surely, 2^268901648 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 268901648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293606208).

268901648 is an abundant number, since it is smaller than the sum of its proper divisors (318310768).

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

268901648 is a wasteful number, since it uses less digits than its factorization.

268901648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 44.

The square root of 268901648 is about 16398.2208791076. The cubic root of 268901648 is about 645.4527982544.

The spelling of 268901648 in words is "two hundred sixty-eight million, nine hundred one thousand, six hundred forty-eight".