1089416160 has 576 divisors, whose sum is σ = 4589125632. Its totient is φ = 229920768.

The previous prime is 1089416143. The next prime is 1089416161. The reversal of 1089416160 is 616149801.

It is a happy number.

1089416160 is a `hidden beast` number, since 1 + 0 + 89 + 416 + 160 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1089416161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8578017 + ... + 8578143.

It is an arithmetic number, because the mean of its divisors is an integer number (7967232).

Almost surely, 2^1089416160 is an apocalyptic number.

1089416160 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 1089416160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2294562816).

1089416160 is an abundant number, since it is smaller than the sum of its proper divisors (3499709472).

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

1089416160 is a wasteful number, since it uses less digits than its factorization.

1089416160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1089416160 is about 33006.3048522551. The cubic root of 1089416160 is about 1028.9586861896.

The spelling of 1089416160 in words is "one billion, eighty-nine million, four hundred sixteen thousand, one hundred sixty".