1067868360 has 288 divisors, whose sum is σ = 3893493240. Its totient is φ = 262020096.

The previous prime is 1067868331. The next prime is 1067868367. The reversal of 1067868360 is 638687601.

1067868360 is digitally balanced in base 2, 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 4 ways, for example, as 300467556 + 767400804 = 17334^2 + 27702^2 .

It is a super-2 number, since 2×1067868360² = 2280685668578179200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1067868367) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3411564 + ... + 3411876.

Almost surely, 2^1067868360 is an apocalyptic number.

1067868360 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 1067868360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1946746620).

1067868360 is an abundant number, since it is smaller than the sum of its proper divisors (2825624880).

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

1067868360 is an equidigital number, since it uses as much as digits as its factorization.

1067868360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 1067868360 is about 32678.2551553782. The cubic root of 1067868360 is about 1022.1294612494.

The spelling of 1067868360 in words is "one billion, sixty-seven million, eight hundred sixty-eight thousand, three hundred sixty".