16007112 has 64 divisors (see below), whose sum is σ = 48513600. Its totient is φ = 4849920.

The previous prime is 16007111. The next prime is 16007143. The reversal of 16007112 is 21170061.

It is a super-3 number, since 3×16007112³ (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (16007111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 993 + ... + 5744.

It is an arithmetic number, because the mean of its divisors is an integer number (758025).

Almost surely, 2^16007112 is an apocalyptic number.

16007112 is a gapful number since it is divisible by the number (12) 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 16007112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24256800).

16007112 is an abundant number, since it is smaller than the sum of its proper divisors (32506488).

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

16007112 is a wasteful number, since it uses less digits than its factorization.

16007112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6763 (or 6753 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 16007112 is about 4000.8889012318. Note that the first 3 decimals coincide. The cubic root of 16007112 is about 252.0215401089.

Adding to 16007112 its reverse (21170061), we get a palindrome (37177173).

The spelling of 16007112 in words is "sixteen million, seven thousand, one hundred twelve".