15216416 has 48 divisors (see below), whose sum is σ = 32659200. Its totient is φ = 6951168.

The previous prime is 15216407. The next prime is 15216449. The reversal of 15216416 is 61461251.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17201 + ... + 18063.

It is an arithmetic number, because the mean of its divisors is an integer number (680400).

Almost surely, 2^15216416 is an apocalyptic number.

15216416 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 15216416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16329600).

15216416 is an abundant number, since it is smaller than the sum of its proper divisors (17442784).

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

15216416 is a wasteful number, since it uses less digits than its factorization.

15216416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 913 counting only the distinct ones).

The product of its digits is 1440, while the sum is 26.

The square root of 15216416 is about 3900.8224773758. The cubic root of 15216416 is about 247.8016103295.

Adding to 15216416 its reverse (61461251), we get a palindrome (76677667).

The spelling of 15216416 in words is "fifteen million, two hundred sixteen thousand, four hundred sixteen".