13905216 has 112 divisors (see below), whose sum is σ = 44094400. Its totient is φ = 4271616.

The previous prime is 13905193. The next prime is 13905251. The reversal of 13905216 is 61250931.

13905216 is a `hidden beast` number, since 139 + 0 + 521 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 13905216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22155 + ... + 22773.

It is an arithmetic number, because the mean of its divisors is an integer number (393700).

Almost surely, 2^13905216 is an apocalyptic number.

13905216 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 13905216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22047200).

13905216 is an abundant number, since it is smaller than the sum of its proper divisors (30189184).

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

13905216 is a wasteful number, since it uses less digits than its factorization.

13905216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 13905216 is about 3728.9698309319. The cubic root of 13905216 is about 240.4690825758.

The spelling of 13905216 in words is "thirteen million, nine hundred five thousand, two hundred sixteen".