268017648 has 160 divisors (see below), whose sum is σ = 787449600. Its totient is φ = 78041088.

The previous prime is 268017637. The next prime is 268017649. The reversal of 268017648 is 846710862.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268017649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 914590 + ... + 914882.

It is an arithmetic number, because the mean of its divisors is an integer number (4921560).

Almost surely, 2^268017648 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 268017648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393724800).

268017648 is an abundant number, since it is smaller than the sum of its proper divisors (519431952).

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

268017648 is a wasteful number, since it uses less digits than its factorization.

268017648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 268017648 is about 16371.2445464601. The cubic root of 268017648 is about 644.7447244125.

The spelling of 268017648 in words is "two hundred sixty-eight million, seventeen thousand, six hundred forty-eight".