1018087680 has 144 divisors (see below), whose sum is σ = 3321287424. Its totient is φ = 265666560.

The previous prime is 1018087667. The next prime is 1018087757. The reversal of 1018087680 is 867808101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177660 + ... + 183300.

It is an arithmetic number, because the mean of its divisors is an integer number (23064496).

Almost surely, 2^1018087680 is an apocalyptic number.

1018087680 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 1018087680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660643712).

1018087680 is an abundant number, since it is smaller than the sum of its proper divisors (2303199744).

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

1018087680 is an equidigital number, since it uses as much as digits as its factorization.

1018087680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5712 (or 5698 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 39.

The square root of 1018087680 is about 31907.4862688993. The cubic root of 1018087680 is about 1005.9932360318.

The spelling of 1018087680 in words is "one billion, eighteen million, eighty-seven thousand, six hundred eighty".