1067813280 has 120 divisors (see below), whose sum is σ = 3768536772. Its totient is φ = 284746752.

The previous prime is 1067813251. The next prime is 1067813287. The reversal of 1067813280 is 823187601.

1067813280 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 2 ways, for example, as 1042773264 + 25040016 = 32292^2 + 5004^2 .

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

It is a super-2 number, since 2×1067813280² = 2280450401888716800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1067813287) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28237 + ... + 54156.

Almost surely, 2^1067813280 is an apocalyptic number.

1067813280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1067813280 is an abundant number, since it is smaller than the sum of its proper divisors (2700723492).

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

1067813280 is an equidigital number, since it uses as much as digits as its factorization.

1067813280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82420 (or 82403 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1067813280 is about 32677.4123822557. The cubic root of 1067813280 is about 1022.1118873421. Note that the first 3 decimals are identical.

The spelling of 1067813280 in words is "one billion, sixty-seven million, eight hundred thirteen thousand, two hundred eighty".