15065216 has 32 divisors (see below), whose sum is σ = 30833580. Its totient is φ = 7326720.

The previous prime is 15065209. The next prime is 15065251. The reversal of 15065216 is 61256051.

It can be written as a sum of positive squares in 2 ways, for example, as 15054400 + 10816 = 3880^2 + 104^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3146 + ... + 6326.

Almost surely, 2^15065216 is an apocalyptic number.

15065216 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 15065216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15416790).

15065216 is an abundant number, since it is smaller than the sum of its proper divisors (15768364).

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

15065216 is an equidigital number, since it uses as much as digits as its factorization.

15065216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3232 (or 3220 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 15065216 is about 3881.3935641725. The cubic root of 15065216 is about 246.9781051145.

The spelling of 15065216 in words is "fifteen million, sixty-five thousand, two hundred sixteen".