16007168 has 30 divisors (see below), whose sum is σ = 32046126. Its totient is φ = 7995392.

The previous prime is 16007153. The next prime is 16007209. The reversal of 16007168 is 86170061.

It can be written as a sum of positive squares in only one way, i.e., 15745024 + 262144 = 3968^2 + 512^2 .

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 16007168.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15896 + ... + 16872.

Almost surely, 2^16007168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16007168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16023063).

16007168 is an abundant number, since it is smaller than the sum of its proper divisors (16038958).

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

16007168 is an frugal number, since it uses more digits than its factorization.

16007168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 16007168 is about 4000.8958996705. The cubic root of 16007168 is about 252.0218340030.

The spelling of 16007168 in words is "sixteen million, seven thousand, one hundred sixty-eight".