1329216 has 112 divisors (see below), whose sum is σ = 4291584. Its totient is φ = 354816.

The previous prime is 1329197. The next prime is 1329217. The reversal of 1329216 is 6129231.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1329217) 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 15 ways as a sum of consecutive naturals, for example, 30891 + ... + 30933.

2^1329216 is an apocalyptic number.

1329216 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 1329216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2145792).

1329216 is an abundant number, since it is smaller than the sum of its proper divisors (2962368).

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

1329216 is a wasteful number, since it uses less digits than its factorization.

1329216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 78 counting only the distinct ones).

The product of its digits is 648, while the sum is 24.

The square root of 1329216 is about 1152.9163022527. The cubic root of 1329216 is about 109.9508320206.

The spelling of 1329216 in words is "one million, three hundred twenty-nine thousand, two hundred sixteen".