14813616 has 80 divisors (see below), whose sum is σ = 41465600. Its totient is φ = 4541184.

The previous prime is 14813573. The next prime is 14813621. The reversal of 14813616 is 61631841.

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

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, 33525 + ... + 33963.

It is an arithmetic number, because the mean of its divisors is an integer number (518320).

Almost surely, 2^14813616 is an apocalyptic number.

14813616 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 14813616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20732800).

14813616 is an abundant number, since it is smaller than the sum of its proper divisors (26651984).

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

14813616 is a wasteful number, since it uses less digits than its factorization.

14813616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 500 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 14813616 is about 3848.8460608343. The cubic root of 14813616 is about 245.5954750234.

The spelling of 14813616 in words is "fourteen million, eight hundred thirteen thousand, six hundred sixteen".