268717664 has 48 divisors (see below), whose sum is σ = 544864320. Its totient is φ = 130381440.

The previous prime is 268717663. The next prime is 268717667. The reversal of 268717664 is 466717862.

It is a happy number.

Its product of digits (677376) is a multiple of the sum of its prime factors (1323).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268717661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 245759 + ... + 246849.

It is an arithmetic number, because the mean of its divisors is an integer number (11351340).

Almost surely, 2^268717664 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 268717664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272432160).

268717664 is an abundant number, since it is smaller than the sum of its proper divisors (276146656).

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

268717664 is a wasteful number, since it uses less digits than its factorization.

268717664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1323 (or 1315 counting only the distinct ones).

The product of its digits is 677376, while the sum is 47.

The square root of 268717664 is about 16392.6100423331. The cubic root of 268717664 is about 645.3055572059.

The spelling of 268717664 in words is "two hundred sixty-eight million, seven hundred seventeen thousand, six hundred sixty-four".