20198112 has 96 divisors (see below), whose sum is σ = 59802624. Its totient is φ = 5913600.

The previous prime is 20198111. The next prime is 20198147. The reversal of 20198112 is 21189102.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×20198112³ (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20198111) 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, 32428 + ... + 33044.

It is an arithmetic number, because the mean of its divisors is an integer number (622944).

Almost surely, 2^20198112 is an apocalyptic number.

20198112 is a gapful number since it is divisible by the number (22) 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 20198112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29901312).

20198112 is an abundant number, since it is smaller than the sum of its proper divisors (39604512).

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

20198112 is a wasteful number, since it uses less digits than its factorization.

20198112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 20198112 is about 4494.2309686975. The cubic root of 20198112 is about 272.3350829972.

The spelling of 20198112 in words is "twenty million, one hundred ninety-eight thousand, one hundred twelve".