13958616 has 64 divisors (see below), whose sum is σ = 41990400. Its totient is φ = 3777408.

The previous prime is 13958611. The next prime is 13958629. The reversal of 13958616 is 61685931.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13958611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1006 + ... + 5378.

It is an arithmetic number, because the mean of its divisors is an integer number (656100).

Almost surely, 2^13958616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13958616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20995200).

13958616 is an abundant number, since it is smaller than the sum of its proper divisors (28031784).

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

13958616 is a wasteful number, since it uses less digits than its factorization.

13958616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4408 (or 4404 counting only the distinct ones).

The product of its digits is 38880, while the sum is 39.

The square root of 13958616 is about 3736.1231243095. The cubic root of 13958616 is about 240.7765126851.

It can be divided in two parts, 1395 and 8616, that added together give a triangular number (10011 = T₁₄₁).

The spelling of 13958616 in words is "thirteen million, nine hundred fifty-eight thousand, six hundred sixteen".