1087816000 has 56 divisors (see below), whose sum is σ = 2693996136. Its totient is φ = 435123200.

The previous prime is 1087815991. The next prime is 1087816003. The reversal of 1087816000 is 6187801.

It can be written as a sum of positive squares in 4 ways, for example, as 399424 + 1087416576 = 632^2 + 32976^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1087816003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59989 + ... + 75988.

Almost surely, 2^1087816000 is an apocalyptic number.

1087816000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1087816000 is an abundant number, since it is smaller than the sum of its proper divisors (1606180136).

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

1087816000 is an equidigital number, since it uses as much as digits as its factorization.

1087816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136004 (or 135984 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 31.

The square root of 1087816000 is about 32982.0557273194. The cubic root of 1087816000 is about 1028.4546531155.

The spelling of 1087816000 in words is "one billion, eighty-seven million, eight hundred sixteen thousand".