1157216 has 36 divisors (see below), whose sum is σ = 2414412. Its totient is φ = 545664.

The previous prime is 1157213. The next prime is 1157227. The reversal of 1157216 is 6127511.

It is a junction number, because it is equal to n+sod(n) for n = 1157191 and 1157200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1157213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26891 + ... + 26933.

It is an arithmetic number, because the mean of its divisors is an integer number (67067).

2^1157216 is an apocalyptic number.

1157216 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 1157216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207206).

1157216 is an abundant number, since it is smaller than the sum of its proper divisors (1257196).

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

1157216 is an equidigital number, since it uses as much as digits as its factorization.

1157216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 74 counting only the distinct ones).

The product of its digits is 420, while the sum is 23.

The square root of 1157216 is about 1075.7397454775. The cubic root of 1157216 is about 104.9876327082.

The spelling of 1157216 in words is "one million, one hundred fifty-seven thousand, two hundred sixteen".