268020864 has 96 divisors (see below), whose sum is σ = 775829340. Its totient is φ = 88811520.

The previous prime is 268020853. The next prime is 268020877. The reversal of 268020864 is 468020862.

It can be written as a sum of positive squares in 2 ways, for example, as 190440000 + 77580864 = 13800^2 + 8808^2 .

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 (36).

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, 226354 + ... + 227534.

Almost surely, 2^268020864 is an apocalyptic number.

268020864 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 268020864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387914670).

268020864 is an abundant number, since it is smaller than the sum of its proper divisors (507808476).

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

268020864 is a wasteful number, since it uses less digits than its factorization.

268020864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 268020864 is about 16371.3427671648. The cubic root of 268020864 is about 644.7473032113.

The spelling of 268020864 in words is "two hundred sixty-eight million, twenty thousand, eight hundred sixty-four".