13998816 has 72 divisors (see below), whose sum is σ = 42882840. Its totient is φ = 4306176.

The previous prime is 13998811. The next prime is 13998823. The reversal of 13998816 is 61889931.

13998816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13998811) 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, 1875 + ... + 5613.

It is an arithmetic number, because the mean of its divisors is an integer number (595595).

Almost surely, 2^13998816 is an apocalyptic number.

13998816 is a gapful number since it is divisible by the number (16) 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 13998816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21441420).

13998816 is an abundant number, since it is smaller than the sum of its proper divisors (28884024).

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

13998816 is a wasteful number, since it uses less digits than its factorization.

13998816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3768 (or 3757 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The square root of 13998816 is about 3741.4991647734. The cubic root of 13998816 is about 241.0074319202.

The spelling of 13998816 in words is "thirteen million, nine hundred ninety-eight thousand, eight hundred sixteen".