1087107840 has 864 divisors, whose sum is σ = 4981931136. Its totient is φ = 212336640.

The previous prime is 1087107839. The next prime is 1087107859. The reversal of 1087107840 is 487017801.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1087107795 and 1087107804.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17821410 + ... + 17821470.

It is an arithmetic number, because the mean of its divisors is an integer number (5766124).

Almost surely, 2^1087107840 is an apocalyptic number.

1087107840 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 1087107840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2490965568).

1087107840 is an abundant number, since it is smaller than the sum of its proper divisors (3894823296).

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

1087107840 is a wasteful number, since it uses less digits than its factorization.

1087107840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The square root of 1087107840 is about 32971.3184449758. The cubic root of 1087107840 is about 1028.2314325997.

The spelling of 1087107840 in words is "one billion, eighty-seven million, one hundred seven thousand, eight hundred forty".