1324917216 has 384 divisors, whose sum is σ = 4644864000. Its totient is φ = 359603712.

The previous prime is 1324917211. The next prime is 1324917241. The reversal of 1324917216 is 6127194231.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1324917211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16771065 + ... + 16771143.

It is an arithmetic number, because the mean of its divisors is an integer number (12096000).

Almost surely, 2^1324917216 is an apocalyptic number.

1324917216 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 1324917216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2322432000).

1324917216 is an abundant number, since it is smaller than the sum of its proper divisors (3319946784).

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

1324917216 is a wasteful number, since it uses less digits than its factorization.

1324917216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 197 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 1324917216 is about 36399.4123029480. The cubic root of 1324917216 is about 1098.3217427329.

The spelling of 1324917216 in words is "one billion, three hundred twenty-four million, nine hundred seventeen thousand, two hundred sixteen".