1334068000 has 48 divisors (see below), whose sum is σ = 3277814904. Its totient is φ = 533625600.

The previous prime is 1334067997. The next prime is 1334068003. The reversal of 1334068000 is 8604331.

It is an interprime number because it is at equal distance from previous prime (1334067997) and next prime (1334068003).

It can be written as a sum of positive squares in 4 ways, for example, as 78357904 + 1255710096 = 8852^2 + 35436^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1334068003) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 162759 + ... + 170758.

Almost surely, 2^1334068000 is an apocalyptic number.

1334068000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1334068000 is an abundant number, since it is smaller than the sum of its proper divisors (1943746904).

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

1334068000 is an equidigital number, since it uses as much as digits as its factorization.

1334068000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333542 (or 333524 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 1334068000 is about 36524.8956192896. The cubic root of 1334068000 is about 1100.8445305049.

The spelling of 1334068000 in words is "one billion, three hundred thirty-four million, sixty-eight thousand".