1540084068 has 36 divisors (see below), whose sum is σ = 3894354828. Its totient is φ = 513181440.

The previous prime is 1540084067. The next prime is 1540084069. The reversal of 1540084068 is 8604800451.

It is an interprime number because it is at equal distance from previous prime (1540084067) and next prime (1540084069).

It can be written as a sum of positive squares in 2 ways, for example, as 148644864 + 1391439204 = 12192^2 + 37302^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 (1540084067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 132408 + ... + 143568.

It is an arithmetic number, because the mean of its divisors is an integer number (108176523).

Almost surely, 2^1540084068 is an apocalyptic number.

1540084068 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1540084068 is an abundant number, since it is smaller than the sum of its proper divisors (2354270760).

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

1540084068 is a wasteful number, since it uses less digits than its factorization.

1540084068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15004 (or 14999 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1540084068 is about 39243.9048515817. The cubic root of 1540084068 is about 1154.8213632763.

The spelling of 1540084068 in words is "one billion, five hundred forty million, eighty-four thousand, sixty-eight".