13920016 has 40 divisors (see below), whose sum is σ = 29685600. Its totient is φ = 6270720.

The previous prime is 13919993. The next prime is 13920019. The reversal of 13920016 is 61002931.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (13920019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24180 + ... + 24748.

It is an arithmetic number, because the mean of its divisors is an integer number (742140).

Almost surely, 2^13920016 is an apocalyptic number.

13920016 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 13920016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14842800).

13920016 is an abundant number, since it is smaller than the sum of its proper divisors (15765584).

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

13920016 is a wasteful number, since it uses less digits than its factorization.

13920016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 13920016 is about 3730.9537654600. The cubic root of 13920016 is about 240.5543666523.

Adding to 13920016 its reverse (61002931), we get a palindrome (74922947).

It can be divided in two parts, 139 and 20016, that multiplied together give a square (2782224 = 1668²).

The spelling of 13920016 in words is "thirteen million, nine hundred twenty thousand, sixteen".