16032016 has 135 divisors (see below), whose sum is σ = 43007013. Its totient is φ = 5765760.

The previous prime is 16031999. The next prime is 16032019. The reversal of 16032016 is 61023061.

The square root of 16032016 is 4004.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2371600 + 13660416 = 1540^2 + 3696^2 .

It is a junction number, because it is equal to n+sod(n) for n = 16031984 and 16032002.

It is not an unprimeable number, because it can be changed into a prime (16032019) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1233226 + ... + 1233238.

Almost surely, 2^16032016 is an apocalyptic number.

16032016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

16032016 is the 4004-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16032016

16032016 is an abundant number, since it is smaller than the sum of its proper divisors (26974997).

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

16032016 is a wasteful number, since it uses less digits than its factorization.

16032016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The cubic root of 16032016 is about 252.1521714665.

Adding to 16032016 its reverse (61023061), we get a palindrome (77055077).

The spelling of 16032016 in words is "sixteen million, thirty-two thousand, sixteen".