268017264 has 60 divisors (see below), whose sum is σ = 753716392. Its totient is φ = 88905600.

The previous prime is 268017259. The next prime is 268017271. The reversal of 268017264 is 462710862.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25974 + ... + 34794.

Almost surely, 2^268017264 is an apocalyptic number.

268017264 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 268017264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376858196).

268017264 is an abundant number, since it is smaller than the sum of its proper divisors (485699128).

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

268017264 is a wasteful number, since it uses less digits than its factorization.

268017264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9046 (or 9037 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 268017264 is about 16371.2328185754. The cubic root of 268017264 is about 644.7444164949.

The spelling of 268017264 in words is "two hundred sixty-eight million, seventeen thousand, two hundred sixty-four".