1085222016 has 128 divisors (see below), whose sum is σ = 3221486400. Its totient is φ = 359645184.

The previous prime is 1085221999. The next prime is 1085222059. The reversal of 1085222016 is 6102225801.

It is a happy number.

1085222016 is a `hidden beast` number, since 108 + 522 + 20 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1085222016² = 2355413648022208512, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 666195 + ... + 667821.

Almost surely, 2^1085222016 is an apocalyptic number.

1085222016 is a gapful number since it is divisible by the number (16) 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 1085222016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610743200).

1085222016 is an abundant number, since it is smaller than the sum of its proper divisors (2136264384).

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

1085222016 is a wasteful number, since it uses less digits than its factorization.

1085222016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1843 (or 1825 counting only the distinct ones).

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

The square root of 1085222016 is about 32942.7080854018. The cubic root of 1085222016 is about 1027.6365250951.

Adding to 1085222016 its reverse (6102225801), we get a palindrome (7187447817).

The spelling of 1085222016 in words is "one billion, eighty-five million, two hundred twenty-two thousand, sixteen".