268964256 has 96 divisors (see below), whose sum is σ = 773273088. Its totient is φ = 81181440.

The previous prime is 268964243. The next prime is 268964261. The reversal of 268964256 is 652469862.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 514011 + ... + 514533.

It is an arithmetic number, because the mean of its divisors is an integer number (8054928).

Almost surely, 2^268964256 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 268964256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386636544).

268964256 is an abundant number, since it is smaller than the sum of its proper divisors (504308832).

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

268964256 is a wasteful number, since it uses less digits than its factorization.

268964256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 1026 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 48.

The square root of 268964256 is about 16400.1297555843. The cubic root of 268964256 is about 645.5028876622.

The spelling of 268964256 in words is "two hundred sixty-eight million, nine hundred sixty-four thousand, two hundred fifty-six".