1087832160 has 192 divisors, whose sum is σ = 3930716160. Its totient is φ = 280696320.

The previous prime is 1087832149. The next prime is 1087832177. The reversal of 1087832160 is 612387801.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129859 + ... + 137981.

It is an arithmetic number, because the mean of its divisors is an integer number (20472480).

Almost surely, 2^1087832160 is an apocalyptic number.

1087832160 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 1087832160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1965358080).

1087832160 is an abundant number, since it is smaller than the sum of its proper divisors (2842884000).

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

1087832160 is a wasteful number, since it uses less digits than its factorization.

1087832160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8178 (or 8164 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1087832160 is about 32982.3007081071. The cubic root of 1087832160 is about 1028.4597458104.

The spelling of 1087832160 in words is "one billion, eighty-seven million, eight hundred thirty-two thousand, one hundred sixty".