1087818768 has 160 divisors (see below), whose sum is σ = 3335500800. Its totient is φ = 338688000.

The previous prime is 1087818757. The next prime is 1087818779. The reversal of 1087818768 is 8678187801.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1087818757) and next prime (1087818779).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 386968 + ... + 389768.

It is an arithmetic number, because the mean of its divisors is an integer number (20846880).

Almost surely, 2^1087818768 is an apocalyptic number.

1087818768 is a gapful number since it is divisible by the number (18) 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 1087818768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1667750400).

1087818768 is an abundant number, since it is smaller than the sum of its proper divisors (2247682032).

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

1087818768 is a wasteful number, since it uses less digits than its factorization.

1087818768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2878 (or 2866 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 54.

The square root of 1087818768 is about 32982.0976895042. The cubic root of 1087818768 is about 1028.4555254322.

It can be divided in two parts, 10878 and 18768, that added together give a triangular number (29646 = T₂₄₃).

The spelling of 1087818768 in words is "one billion, eighty-seven million, eight hundred eighteen thousand, seven hundred sixty-eight".