1177216 has 32 divisors (see below), whose sum is σ = 2487780. Its totient is φ = 552960.

The previous prime is 1177207. The next prime is 1177219. The reversal of 1177216 is 6127711.

It can be written as a sum of positive squares in 2 ways, for example, as 1166400 + 10816 = 1080^2 + 104^2 .

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 (1177219) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1906 + ... + 2446.

2^1177216 is an apocalyptic number.

1177216 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 1177216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1243890).

1177216 is an abundant number, since it is smaller than the sum of its proper divisors (1310564).

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

1177216 is an equidigital number, since it uses as much as digits as its factorization.

1177216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 560 counting only the distinct ones).

The product of its digits is 588, while the sum is 25.

The square root of 1177216 is about 1084.9958525266. The cubic root of 1177216 is about 105.5890101817.

The spelling of 1177216 in words is "one million, one hundred seventy-seven thousand, two hundred sixteen".