13614816 has 48 divisors (see below), whose sum is σ = 36714384. Its totient is φ = 4414464.

The previous prime is 13614803. The next prime is 13614851. The reversal of 13614816 is 61841631.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1636 + ... + 5468.

It is an arithmetic number, because the mean of its divisors is an integer number (764883).

Almost surely, 2^13614816 is an apocalyptic number.

13614816 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 13614816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18357192).

13614816 is an abundant number, since it is smaller than the sum of its proper divisors (23099568).

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

13614816 is a wasteful number, since it uses less digits than its factorization.

13614816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3883 (or 3875 counting only the distinct ones).

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

The square root of 13614816 is about 3689.8260121583. The cubic root of 13614816 is about 238.7832865699.

The spelling of 13614816 in words is "thirteen million, six hundred fourteen thousand, eight hundred sixteen".