268901664 has 96 divisors (see below), whose sum is σ = 733453056. Its totient is φ = 86200320.

The previous prime is 268901653. The next prime is 268901669. The reversal of 268901664 is 466109862.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (268901669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 274744 + ... + 275720.

It is an arithmetic number, because the mean of its divisors is an integer number (7640136).

Almost surely, 2^268901664 is an apocalyptic number.

268901664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268901664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366726528).

268901664 is an abundant number, since it is smaller than the sum of its proper divisors (464551392).

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

268901664 is a wasteful number, since it uses less digits than its factorization.

268901664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 268901664 is about 16398.2213669654. The cubic root of 268901664 is about 645.4528110562.

The spelling of 268901664 in words is "two hundred sixty-eight million, nine hundred one thousand, six hundred sixty-four".