1171296 has 108 divisors (see below), whose sum is σ = 3921372. Its totient is φ = 330624.

The previous prime is 1171267. The next prime is 1171301. The reversal of 1171296 is 6921711.

1171296 = T₁₀₃ + T₁₀₄ + ... + T₂₀₀.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 14071 + ... + 14153.

It is an arithmetic number, because the mean of its divisors is an integer number (36309).

2^1171296 is an apocalyptic number.

1171296 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 1171296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1960686).

1171296 is an abundant number, since it is smaller than the sum of its proper divisors (2750076).

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

1171296 is a wasteful number, since it uses less digits than its factorization.

1171296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 95 counting only the distinct ones).

The product of its digits is 756, while the sum is 27.

The square root of 1171296 is about 1082.2642930449. The cubic root of 1171296 is about 105.4117168351.

The spelling of 1171296 in words is "one million, one hundred seventy-one thousand, two hundred ninety-six".