15505216 has 56 divisors (see below), whose sum is σ = 33284160. Its totient is φ = 7142400.

The previous prime is 15505213. The next prime is 15505219. The reversal of 15505216 is 61250551.

It is an interprime number because it is at equal distance from previous prime (15505213) and next prime (15505219).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15505213) 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 7 ways as a sum of consecutive naturals, for example, 49701 + ... + 50011.

It is an arithmetic number, because the mean of its divisors is an integer number (594360).

Almost surely, 2^15505216 is an apocalyptic number.

15505216 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 15505216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16642080).

15505216 is an abundant number, since it is smaller than the sum of its proper divisors (17778944).

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

15505216 is a wasteful number, since it uses less digits than its factorization.

15505216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 25.

The square root of 15505216 is about 3937.6663139479. Note that the first 3 decimals coincide. The cubic root of 15505216 is about 249.3595125044.

Adding to 15505216 its reverse (61250551), we get a palindrome (76755767).

The spelling of 15505216 in words is "fifteen million, five hundred five thousand, two hundred sixteen".