1268605440 has 120 divisors (see below), whose sum is σ = 4393617228. Its totient is φ = 338288640.

The previous prime is 1268605427. The next prime is 1268605469. The reversal of 1268605440 is 445068621.

1268605440 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 605 + 4 + 40 = 666.

1268605440 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1258262784 + 10342656 = 35472^2 + 3216^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 1268605395 and 1268605404.

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, 4491 + ... + 50570.

Almost surely, 2^1268605440 is an apocalyptic number.

1268605440 is a gapful number since it is divisible by the number (10) 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 1268605440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2196808614).

1268605440 is an abundant number, since it is smaller than the sum of its proper divisors (3125011788).

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

1268605440 is an equidigital number, since it uses as much as digits as its factorization.

1268605440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55090 (or 55071 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1268605440 is about 35617.4878395431. The cubic root of 1268605440 is about 1082.5356060733.

The spelling of 1268605440 in words is "one billion, two hundred sixty-eight million, six hundred five thousand, four hundred forty".