1115776 has 32 divisors (see below), whose sum is σ = 2325600. Its totient is φ = 532224.

The previous prime is 1115773. The next prime is 1115789. The reversal of 1115776 is 6775111.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (1115771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2755 + ... + 3133.

It is an arithmetic number, because the mean of its divisors is an integer number (72675).

2^1115776 is an apocalyptic number.

1115776 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 1115776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162800).

1115776 is an abundant number, since it is smaller than the sum of its proper divisors (1209824).

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

1115776 is an equidigital number, since it uses as much as digits as its factorization.

1115776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 404 counting only the distinct ones).

The product of its digits is 1470, while the sum is 28.

The square root of 1115776 is about 1056.3029868366. The cubic root of 1115776 is about 103.7191634297.

It can be divided in two parts, 1115 and 776, that added together give a triangular number (1891 = T₆₁).

The spelling of 1115776 in words is "one million, one hundred fifteen thousand, seven hundred seventy-six".