13757216 has 96 divisors (see below), whose sum is σ = 33203520. Its totient is φ = 5575680.

The previous prime is 13757213. The next prime is 13757221. The reversal of 13757216 is 61275731.

It is a Harshad number since it is a multiple of its sum of digits (32).

Its product of digits (8820) is a multiple of the sum of its prime divisors (49).

It is not an unprimeable number, because it can be changed into a prime (13757213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 724055 + ... + 724073.

It is an arithmetic number, because the mean of its divisors is an integer number (345870).

Almost surely, 2^13757216 is an apocalyptic number.

13757216 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 13757216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16601760).

13757216 is an abundant number, since it is smaller than the sum of its proper divisors (19446304).

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

13757216 is a wasteful number, since it uses less digits than its factorization.

13757216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 49 counting only the distinct ones).

The product of its digits is 8820, while the sum is 32.

The square root of 13757216 is about 3709.0721211645. The cubic root of 13757216 is about 239.6128944764.

The spelling of 13757216 in words is "thirteen million, seven hundred fifty-seven thousand, two hundred sixteen".