1087040160 has 288 divisors, whose sum is σ = 3969725760. Its totient is φ = 270065664.

The previous prime is 1087040113. The next prime is 1087040161. The reversal of 1087040160 is 610407801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (1087040161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1832824 + ... + 1833416.

It is an arithmetic number, because the mean of its divisors is an integer number (13783770).

Almost surely, 2^1087040160 is an apocalyptic number.

1087040160 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 1087040160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1984862880).

1087040160 is an abundant number, since it is smaller than the sum of its proper divisors (2882685600).

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

1087040160 is a wasteful number, since it uses less digits than its factorization.

1087040160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1087040160 is about 32970.2920824187. The cubic root of 1087040160 is about 1028.2100939784.

Adding to 1087040160 its reverse (610407801), we get a palindrome (1697447961).

The spelling of 1087040160 in words is "one billion, eighty-seven million, forty thousand, one hundred sixty".