1217632416 has 192 divisors, whose sum is σ = 4291854336. Its totient is φ = 291916800.

The previous prime is 1217632379. The next prime is 1217632417. The reversal of 1217632416 is 6142367121.

It is a Harshad number since it is a multiple of its sum of digits (33).

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

It is not an unprimeable number, because it can be changed into a prime (1217632417) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 89761 + ... + 102431.

It is an arithmetic number, because the mean of its divisors is an integer number (22353408).

Almost surely, 2^1217632416 is an apocalyptic number.

1217632416 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 1217632416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2145927168).

1217632416 is an abundant number, since it is smaller than the sum of its proper divisors (3074221920).

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

1217632416 is a wasteful number, since it uses less digits than its factorization.

1217632416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12715 (or 12707 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 1217632416 is about 34894.5900678028. The cubic root of 1217632416 is about 1067.8380710886.

Adding to 1217632416 its reverse (6142367121), we get a palindrome (7359999537).

The spelling of 1217632416 in words is "one billion, two hundred seventeen million, six hundred thirty-two thousand, four hundred sixteen".