1085167776 has 192 divisors, whose sum is σ = 3601898496. Its totient is φ = 277862400.

The previous prime is 1085167751. The next prime is 1085167777. The reversal of 1085167776 is 6777615801.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1085167777) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 538611 + ... + 540621.

It is an arithmetic number, because the mean of its divisors is an integer number (18759888).

Almost surely, 2^1085167776 is an apocalyptic number.

1085167776 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 1085167776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1800949248).

1085167776 is an abundant number, since it is smaller than the sum of its proper divisors (2516730720).

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

1085167776 is a wasteful number, since it uses less digits than its factorization.

1085167776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2115 (or 2107 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 48.

The square root of 1085167776 is about 32941.8848276780. The cubic root of 1085167776 is about 1027.6194041949.

It can be divided in two parts, 1085 and 167776, that added together give a palindrome (168861).

The spelling of 1085167776 in words is "one billion, eighty-five million, one hundred sixty-seven thousand, seven hundred seventy-six".