268914564 has 72 divisors (see below), whose sum is σ = 707616000. Its totient is φ = 86003904.

The previous prime is 268914539. The next prime is 268914577. The reversal of 268914564 is 465419862.

268914564 is a `hidden beast` number, since 2 + 6 + 89 + 1 + 4 + 564 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 186157 + ... + 187595.

It is an arithmetic number, because the mean of its divisors is an integer number (9828000).

Almost surely, 2^268914564 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 268914564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353808000).

268914564 is an abundant number, since it is smaller than the sum of its proper divisors (438701436).

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

268914564 is a wasteful number, since it uses less digits than its factorization.

268914564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1657 (or 1652 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 268914564 is about 16398.6146975895. The cubic root of 268914564 is about 645.4631323114.

The spelling of 268914564 in words is "two hundred sixty-eight million, nine hundred fourteen thousand, five hundred sixty-four".