1085024160 has 576 divisors, whose sum is σ = 4358914560. Its totient is φ = 252564480.

The previous prime is 1085024159. The next prime is 1085024179. The reversal of 1085024160 is 614205801.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18390211 + ... + 18390269.

It is an arithmetic number, because the mean of its divisors is an integer number (7567560).

Almost surely, 2^1085024160 is an apocalyptic number.

1085024160 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 1085024160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2179457280).

1085024160 is an abundant number, since it is smaller than the sum of its proper divisors (3273890400).

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

1085024160 is a wasteful number, since it uses less digits than its factorization.

1085024160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1085024160 is about 32939.7049167111. The cubic root of 1085024160 is about 1027.5740689319.

Adding to 1085024160 its reverse (614205801), we get a palindrome (1699229961).

The spelling of 1085024160 in words is "one billion, eighty-five million, twenty-four thousand, one hundred sixty".