13730816 has 88 divisors (see below), whose sum is σ = 31834944. Its totient is φ = 5857280.

The previous prime is 13730809. The next prime is 13730819. The reversal of 13730816 is 61803731.

It is a tau number, because it is divible by the number of its divisors (88).

It is not an unprimeable number, because it can be changed into a prime (13730819) 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, 259046 + ... + 259098.

Almost surely, 2^13730816 is an apocalyptic number.

13730816 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 13730816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15917472).

13730816 is an abundant number, since it is smaller than the sum of its proper divisors (18104128).

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

13730816 is a wasteful number, since it uses less digits than its factorization.

13730816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 13730816 is about 3705.5115706202. The cubic root of 13730816 is about 239.4595245138.

The spelling of 13730816 in words is "thirteen million, seven hundred thirty thousand, eight hundred sixteen".