15998112 has 72 divisors (see below), whose sum is σ = 49005684. Its totient is φ = 4921344.

The previous prime is 15998089. The next prime is 15998119. The reversal of 15998112 is 21189951.

It can be written as a sum of positive squares in 2 ways, for example, as 14470416 + 1527696 = 3804^2 + 1236^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15998119) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1608 + ... + 5880.

Almost surely, 2^15998112 is an apocalyptic number.

15998112 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 15998112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24502842).

15998112 is an abundant number, since it is smaller than the sum of its proper divisors (33007572).

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

15998112 is a wasteful number, since it uses less digits than its factorization.

15998112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4302 (or 4291 counting only the distinct ones).

The product of its digits is 6480, while the sum is 36.

The square root of 15998112 is about 3999.7639930376. The cubic root of 15998112 is about 251.9742982102.

It can be divided in two parts, 15998 and 112, that added together give a triangular number (16110 = T₁₇₉).

The spelling of 15998112 in words is "fifteen million, nine hundred ninety-eight thousand, one hundred twelve".