13749616 has 40 divisors (see below), whose sum is σ = 28966400. Its totient is φ = 6298560.

The previous prime is 13749613. The next prime is 13749641. The reversal of 13749616 is 61694731.

13749616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13749613) 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, 8695 + ... + 10153.

It is an arithmetic number, because the mean of its divisors is an integer number (724160).

Almost surely, 2^13749616 is an apocalyptic number.

13749616 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 13749616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14483200).

13749616 is an abundant number, since it is smaller than the sum of its proper divisors (15216784).

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

13749616 is a wasteful number, since it uses less digits than its factorization.

13749616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517 (or 1511 counting only the distinct ones).

The product of its digits is 27216, while the sum is 37.

The square root of 13749616 is about 3708.0474646369. The cubic root of 13749616 is about 239.5687626442.

It can be divided in two parts, 13749 and 616, that added together give a triangular number (14365 = T₁₆₉).

The spelling of 13749616 in words is "thirteen million, seven hundred forty-nine thousand, six hundred sixteen".